Aspects of atomic decompositions and Bergman projections

The concept of an atomic decomposition was introduced by Coifman and Rochberg (1980) for weighted Bergman spaces on the unit disk. By the Riemann mapping theorem, functions in every simply connected domain in the complex plane have an atomic decomposition. However, a decomposition resulting from a conformal mapping of the unit disk tends to be very implicit and often lacks a clear connection to the geometry of the domain that it has been mapped into. The lattice of points, where the atoms of the decomposition are evaluated, usually follows the geometry of the original domain, but after mapping the domain into another this connection is easily lost and the layout of points becomes seemingly random. In the first article we construct an atomic decomposition directly on a weighted Bergman space on a class of regulated, simply connected domains. The construction uses the geometric properties of the regulated domain, but does not explicitly involve any conformal Riemann map from the unit disk. It is known that the Bergman projection is not bounded on the space L-infinity of bounded measurable functions. Taskinen (2004) introduced the locally convex spaces LV-infinity consisting of measurable and HV-infinity of analytic functions on the unit disk with the latter being a closed subspace of the former. They have the property that the Bergman projection is continuous from LV-infinity onto HV-infinity and, in some sense, the space HV-infinity is the smallest possible substitute to the space H-infinity of analytic functions. In the second article we extend the above result to a smoothly bounded strictly pseudoconvex domain. Here the related reproducing kernels are usually not known explicitly, and thus the proof of continuity of the Bergman projection is based on generalised Forelli-Rudin estimates instead of integral representations. The minimality of the space LV-infinity is shown by using peaking functions first constructed by Bell (1981). Taskinen (2003) showed that on the unit disk the space HV-infinity admits an atomic decomposition. This result is generalised in the third article by constructing an atomic decomposition for the space HV-infinity on a smoothly bounded strictly pseudoconvex domain. In this case every function can be presented as a linear combination of atoms such that the coefficient sequence belongs to a suitable Köthe co-echelon space.

Isänmaa ja Ranska : Suomalainen frankofilia 1880-1914

In Finland the period 1880 -1914 constituted an essential phase in the creation of the great national project as well as it was a golden time of Francophilia. With Francophilia, i.e. French-mindedness, is here understood a collectively upheld strong sympathy towards France and French culture. However, the Francophilia of late nineteenth century Finland was free from apparent political intentions and remained a chosen disposition. The strength of its drive was not only based on the older European admiration of everything French, but also on the growing fascination for a novelty emerging besides the traditional influences of the Germanic culture. In Finnish society Francophilia mostly worked as an opposite force to the most confined conceptions of what was considered national ; as a consequence France came to denote more than a country and Francophilia contained an important symbolical meaning in the construction of the Finnish nation. The main tasks of the study are to introduce as the first large historical presentation of the subject a covering examination of the many descriptions of Paris-phases of assorted artists, authors, and intellectuals, to clarify the mental relationship of the Finnish intelligentsia to France prior to national independence, and finally to provide these developments with case studies of certain life paths. However, the examination is not biographical, because the starting point remains within the rhetoric arguments of Francophilia and patriotism as these appeared within the public sphere. Historical persons have thus been dealt with primarily as reflectors of the then-current French-minded mentality. Such Francophiles in Finland were first and foremost Werner Söderhjelm, Juhani Aho, L. Onerva and V. A. Koskenniemi. The networks of the Finnish cultural field are mostly displayed through these examples. In previous research the intensive relationship of Finnish artists and authors with France has not been connected with actual concepts of nationalism. The respective periods of the intellectuals in Paris have simply been viewed as devoid of ideological links with the contemporary advancement of the fatherland, or even as opposites to the patriotic pursuits in Finland. From the viewpoint of this study these now canonized creators of a Finnish culture are primarily seen as patriots and fellow countrymen, and only secondly as artists and artist s colleagues. The dissertation is constructed as both a regional survey of the idealization of France and a study of Finnish history through the mirror of Francophilia. As such France only held an instrumental role for the receiving culture, i.e. for the construction of Finland, as no "objective truths" were sought for in France. Keywords: France, francophilia, Finnishness, national project, Paris

An XML Messaging Service for Mobile Devices

In recent years, XML has been accepted as the format of messages for several applications. Prominent examples include SOAP for Web services, XMPP for instant messaging, and RSS and Atom for content syndication. This XML usage is understandable, as the format itself is a well-accepted standard for structured data, and it has excellent support for many popular programming languages, so inventing an application-specific format no longer seems worth the effort. Simultaneously with this XML's rise to prominence there has been an upsurge in the number and capabilities of various mobile devices. These devices are connected through various wireless technologies to larger networks, and a goal of current research is to integrate them seamlessly into these networks. These two developments seem to be at odds with each other. XML as a fully text-based format takes up more processing power and network bandwidth than binary formats would, whereas the battery-powered nature of mobile devices dictates that energy, both in processing and transmitting, be utilized efficiently. This thesis presents the work we have performed to reconcile these two worlds. We present a message transfer service that we have developed to address what we have identified as the three key issues: XML processing at the application level, a more efficient XML serialization format, and the protocol used to transfer messages. Our presentation includes both a high-level architectural view of the whole message transfer service, as well as detailed descriptions of the three new components. These components consist of an API, and an associated data model, for XML processing designed for messaging applications, a binary serialization format for the data model of the API, and a message transfer protocol providing two-way messaging capability with support for client mobility. We also present relevant performance measurements for the service and its components. As a result of this work, we do not consider XML to be inherently incompatible with mobile devices. As the fixed networking world moves toward XML for interoperable data representation, so should the wireless world also do to provide a better-integrated networking infrastructure. However, the problems that XML adoption has touch all of the higher layers of application programming, so instead of concentrating simply on the serialization format we conclude that improvements need to be made in an integrated fashion in all of these layers.

Despairing Justice and the Ethics of Legal Interpretation

This study discusses legal interpretation. The question is how legal texts, for instance laws, statutes and regulations, can and do have meaning. Language makes interpretation difficult as it holds no definite meanings. When the theoretical connection between semantics and legal meaning is loosened and we realise that language cannot be a means of justifying legal decisions, the responsibility inherent in legal interpretation can be seen in full. We are thus compelled to search for ways to analyse this responsibility. The main argument of the book is that the responsibility of legal interpretation contains a responsibility towards the text that is interpreted (and through the mediation of the text also towards the legal system), but not only this. It is not simply a responsibility to read and read well, but it transcends on a broader scale. It includes responsibility for the effects of the interpretation in a particular situation and with regard to the people whose case is decided. Ultimately, it is a responsibility to do justice. These two aspects of responsibility are conceptualised here as the two dimensions of the ethics of legal interpretation: the textual and the situational. The basic conception of language presented here is provided by Ludwig Wittgenstein s later philosophy, but the argument is not committed to only one philosophical tradition. Wittgenstein can be counterpointed in interesting ways by Jacques Derrida s ideas on language and meaning. Derrida s work also functions as a contrast to hermeneutic theories. It is argued that the seed to an answer to the question of meaning lies in the inter-personal and situated activity of interpretation and communication, an idea that can be discerned in different ways in the works of Wittgenstein, Derrida and Hans-Georg Gadamer. This way the question of meaning naturally leads us to think about ethics, which is approached here through the philosophy of Emmanuel Levinas. His thinking, focusing on topics such as otherness, friendship and hospitality, provides possibilities for answering some of the questions posed in this book. However, at the same time we move inside a normativity where ethics and politics come together in many ways. The responsibility of legal interpretation is connected to the political and this has to be acknowledged lest we forget that law always implies force. But it is argued here that the political can be explored in positive terms as it does not have to mean only power or violence.