Essays on Managing Knowledge and Work Related Wellbeing

This study explores the relationship between Intellectual Capital and Maintenance of Work Ability. Intellectual Capital is the central framework for analysing the increasing knowledge-intensiveness of business life. It is characteristic of Intellectual Capital that the intersection of human capital, internal structures and external structures is essential. Maintenance of Work Ability, on the other hand, has been the leading paradigm for Finnish occupational health and safety activities since the late 1980s. It is also a holistic approach that emphasises the interdependence of competence, work community, work environment and health as the key to work-related wellbeing. This thesis consists of five essays that scrutinise the focal phenomena both theoretically and empirically. The conceptual model that results from the first research essay provides a general framework for the whole thesis. The case study in the second essay supports a division of intangible assets into generative and commercially exploitable intangibles introduced in the first essay and further into the primary and secondary dimension of generative intangibles. Further scrutiny of the interaction of generative intangible assets in essay three reveals that employees’ wellbeing enhances the readiness to contribute to the knowledge creation process. The fourth essay shows that the MWA framework could benefit knowledge-intensive work but this would require a different approach than has been commonly adopted in Finland. In essay five, deeper analysis of the MWA framework shows that its potential results from comprehensive support of the functioning of an organisation. The general conclusion of this thesis is that organisations must take care of their employees’ wellbeing in order to secure innovativeness that is the key to surviving in today’s competitive business environment.

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.