A maximal operator, Carleson's embedding, and tent spaces for vector-valued functions

This thesis is concerned with the area of vector-valued Harmonic Analysis, where the central theme is to determine how results from classical Harmonic Analysis generalize to functions with values in an infinite dimensional Banach space. The work consists of three articles and an introduction. The first article studies the Rademacher maximal function that was originally defined by T. Hytönen, A. McIntosh and P. Portal in 2008 in order to prove a vector-valued version of Carleson's embedding theorem. The boundedness of the corresponding maximal operator on Lebesgue-(Bochner) -spaces defines the RMF-property of the range space. It is shown that the RMF-property is equivalent to a weak type inequality, which does not depend for instance on the integrability exponent, hence providing more flexibility for the RMF-property. The second article, which is written in collaboration with T. Hytönen, studies a vector-valued Carleson's embedding theorem with respect to filtrations. An earlier proof of the dyadic version assumed that the range space satisfies a certain geometric type condition, which this article shows to be also necessary. The third article deals with a vector-valued generalizations of tent spaces, originally defined by R. R. Coifman, Y. Meyer and E. M. Stein in the 80's, and concerns especially the ones related to square functions. A natural assumption on the range space is then the UMD-property. The main result is an atomic decomposition for tent spaces with integrability exponent one. In order to suit the stochastic integrals appearing in the vector-valued formulation, the proof is based on a geometric lemma for cones and differs essentially from the classical proof. Vector-valued tent spaces have also found applications in functional calculi for bisectorial operators. In the introduction these three themes come together when studying paraproduct operators for vector-valued functions. The Rademacher maximal function and Carleson's embedding theorem were applied already by Hytönen, McIntosh and Portal in order to prove boundedness for the dyadic paraproduct operator on Lebesgue-Bochner -spaces assuming that the range space satisfies both UMD- and RMF-properties. Whether UMD implies RMF is thus an interesting question. Tent spaces, on the other hand, provide a method to study continuous time paraproduct operators, although the RMF-property is not yet understood in the framework of tent spaces.

Functional regulation of the Neurofibromatosis 2 tumor suppressor merlin

Neurofibromatosis 2 (NF2) is an autosomal dominant disorder manifested by the formation of multiple benign tumors of the nervous system. Affected individuals typically develop bilateral vestibular schwannomas which lead to deafness and balance disorders. The syndrome is caused by inactivation of the NF2 tumor suppressor gene, and mutation or loss of the NF2 product, merlin, is sufficient for tumorigenesis in both hereditary and sporadic NF2-associated tumors. Merlin belongs to the band 4.1 superfamily of cytoskeletal proteins, which also contain the related ezrin, radixin, and moesin (ERM) proteins. The ERM members provide a link between the cell cytoskeleton and membrane by connecting membrane-associated proteins to actin filaments. By stabilizing complexes in the cell cortex, the ERMs modulate morphology, growth, and migration of cells. Despite their structural homology, overlapping subcellular distribution, direct molecular association, and partial overlap of molecular interactions, merlin and ezrin exert opposite effects on cell proliferation. Merlin suppresses cell proliferation, whereas ezrin expression is linked to oncogenic activity. We hypothesized that the regions which differ between the proteins might explain merlin s specificity as a tumor suppressor. We therefore analyzed the regions, which are most diverse between merlin and ezrin; the N-terminal tail and the C-terminus. To determine the properties of the C-terminal region, we studied the two most predominant merlin isoforms together with truncation variants similar to those found in patients. We also focused on the evolutionally conserved C-terminal residues, E545-E547, that harbor disease causing mutations in its corresponding DNA sequence. In addition to inhibiting cell proliferation, merlin regulates cytoskeletal organization. The morphogenic properties of merlin may play a role in tumor suppression, since patient-derived tumor cells demonstrate cytoskeletal abnormalities. We analyzed the mechanisms of merlin-induced extension formation and determined that the C-terminal region of amino acids 538-568 is particularly important for the morphogenic activity. We also characterized the role of C-terminal merlin residues in the regulation of proliferation, phosphorylation, and intramolecular associations. In contrast to previous reports, we demonstrated that both merlin isoforms are able to suppress cell proliferation, whereas C-terminally mutated merlin constructs showed reduced growth inhibition. Phosphorylation serves as a mechanism to regulate the tumor suppressive activity of merlin. The C-terminal serine 518 is phosphorylated in response to both p21-activated kinase (PAK) and protein kinase A (PKA), which inactivates the growth inhibitory function of merlin. However, at least three differentially phosphorylated forms of the protein exist. In this study we demonstrated that also the N-terminus of merlin is phosphorylated by AGC kinases, and that both PKA and Akt phosphorylate merlin at serine 10 (S10). We evaluated the impact of this N-terminal tail phosphorylation, and showed that the phosphorylation state of S10 is an important regulator of merlin s ability to modulate cytoskeletal organization but also regulates the stability of the protein. In summary, this study describes the functional effect of merlin specific regions. We demonstrate that both S10 in the N-terminal tail and residues E545-E547 in the C-terminus are essential for merlin activity and function.

Helsingin kävelykeskustan suunnittelu ydinkeskustan kadunvarsiliikeyrittäjien näkökulmasta

Aiempien tutkimusten mukaan keskustayrittäjien kielteinen asenne on olennaisesti vaikeuttanut kävelykatujen toteuttamista kaupunkikeskustoissa. Yrittäjät pelkäävät ostokykyisten asiakkaiden kaikkoavan ja liikevaihtonsa pienenevän kävelykeskustauudistusten myötä. Yrittäjien kielteiset asenteet ovat usein myös painottuneet suuriin kaupunkeihin. Etenkin ydinkeskustassa sijaitsevat kadunvarsiliikeyrittäjät ovat kokeneet kävelykadut ongelmiksi. Tämän tutkimuksen tavoitteena on selvittää, mikä on ydinkeskustan kadunvarsiliikeyrittäjien näkemys Helsingin kävelykeskustan suunnittelusta, millaisena ydinkeskustan kadunvarsiliikeyrittäjät näkevät sijaintikatunsa kävelykeskustan suunnittelupäämäärien kautta tarkasteltuna, ja onko kävelykatuyrittäjien ja kävelykatujen ulkopuolella sijaitsevien yrittäjien näkemysten välillä eroja. Taustana tälle tarkastellaan Helsingin kävelykeskustaa pohjoismaisessa kontekstissa, ja käydään läpi Helsingin kävelykeskustan suunnittelun ja rakentumisen historiaa ja päämääriä. Tutkimuksen aineisto koostuu Helsingin ydinkeskustan kadunvarsiliikeyrittäjille tehdystä kyselystä, kävelykeskustoihin liittyvistä tutkimuksista ja selvityksistä, kaupunkisuunnitteluun ja -tutkimukseen liittyvästä tutkimuskirjallisuudesta, sanomalehtiartikkeleista, ydinkeskustassa tehdystä empiirisestä havainnoinnista ja kahdesta asiantuntijahaastattelusta. Kyselyaineistoa analysoidaan tutkimuksessa tilastollisten menetelmien avulla. Helsingin kävelykeskustan suunnittelu ja rakentuminen on ollut pitkällinen prosessi. Vuoden 1 989 kävelykeskustan periaatesuunnitelmasta on konkretisoitunut Kluuvikatu ja Mikonkatu. Keskustatunnelihanke on vaakalaudalla, minkä vuoksi kävelykeskustan uuden periaatesuunnitelman toteutuminen on epävarmaa. Kävelykeskustan rakentuminen kuitenkin etenee. Keskuskatu ja Kalevankadun itäpää muutetaan kävelykaduiksi ja ydinkeskustan jalankulkuympäristöä parannetaan ja kehitetään jatkuvasti. Tällä hetkellä kävelykeskustan suunnittelun painopiste on Aleksanterinkadun kortteleiden ympäristössä, ja suunnittelun tärkeimpiä päämääriä ovat viihtyisyyden, turvallisuuden, kaupallisen vetovoimaisuuden ja saavutettavuuden parantaminen. Kyselyyn vastanneiden yrittäjien mielestä kävelykeskustaa tulisi laajentaa, sillä laajemman kävelykeskustan nähdään kasvattavan liikevaihtoa ja lisäävän yleisesti ydinkeskustan vetovoimaa. Kävelykatuyrittäjien näkemykset kävelykeskustan suunnittelusta ja kehittämisestä olivat kävelykatujen ulkopuolisia yrittäjiä kielteisempiä. Em. yrittäjien asenteisiin vaikuttavat oletettavasti tutkituilla kävelykaduilla ilmenneet ongelmat. Kyse voi myös olla siitä, että uusien kävelykatujen rakentaminen haittaa kävelykatujen saavutettavuutta. Kadunvarsiliikeyrittäjien yleinen suhtautuminen kävelykeskustan kehittämiseen ja suunnittelupäämääriin on kuitenkin pääosin positiivista. Jatkotutkimuksen kannalta olisi kiinnostavaa selvittää, onko muiden ydinkeskustassa toimivien yritysten, kuten esimerkiksi tavaratalojen ja kauppakeskusten johdon ja kiinteistösijoittajien ja -omistajien suhtautuminen kävelykeskustan kehittämiseen myös positiivista. Tämän lisäksi olisi mielenkiintoista selvittää keskustan käyttäjien ja keskustassa asuvien asenteita kävelykeskustan suunnitteluun, ja verrata tuloksia tässä tutkimuksessa selvitettyihin kadunvarsiliikeyrittäjien näkemyksiin.

Housing the skilled migrants in the Helsinki Metropolitan Area : International attractiveness of housing, neighbourhoods and the city region

The aim of this thesis is to examine the skilled migrants’ satisfaction with the Helsinki Metropolitan Area. The examination is executed on three scales: housing, neighbourhoods and the city region. Specific focus is on the built environment and how it meets the needs of the migrants. The empirical data is formed of 25 semi-structured interviews with skilled migrants and additionally 5 expert interviews. Skilled and educated workforce is an increasingly important resource in the new economy, and cities are competing globally for talented workers. With aging population and a need to develop its innovational structure, the Helsinki Metropolitan Area needs migrant workforce. It has been stated that quality of place is a central factor for skilled migrants when choosing where to settle, and from this perspective their satisfaction with the region is significant. In housing, the skilled migrants found the price-quality ratio and the general sizes of apartments inadequate. The housing market is difficult for the migrants to approach, since they often do not speak Finnish and there are prejudices towards foreigners. The general quality of housing was rated well. On the neighbourhood level, the skilled migrants had settled in residential areas which are also preferred by the Finnish skilled workers. While the migrants showed suburban orientation in their settlement patterns, they were not concentrated in the suburban areas which host large shares of traditional immigrant groups. Migrants were usually satisfied with their neighbourhoods; however, part of the suburban dwellers were unsatisfied with the services and social life in their neighbourhoods. Considering the level of the city region, the most challenging feature for the skilled migrants was the social life. The migrants felt that the social environment is homogeneous and difficult to approach. The physical environment was generally rated well, the most appreciated features being public transportation, human scale of the Metropolitan Helsinki, cleanliness, and the urban nature. Urban culture and services were seen good for the city region’s size, but lacking in international comparison.