A Theory Of Multiplier Functions And Sequences And Its Applications To Banach Spaces

A Theory of Multiplier Functions and Sequences and Its Applications to Banach Spaces

Banach space -- Sequence space -- Grotendieck's theorem -- Type -- Cotype -- Strongly (p, q)-summing -- Strongly (p,q)-nuclear operators -- U-summing multipliers -- Strongly U-summing multipliers -- Absolutely (U, W)-summing operators -- Strongly (U, W)-summing operators -- Strongly (U, W)-nuclear operators -- Positive strongly (p, q)-summing operators -- Positive strongly (p, q)-nuclear operators -- Strongly (p, q)-concave operators -- Strongly p-integral functions -- (p, q)-integral multipliers -- (p, q)-integral functions -- Banachruimte -- Ryruimte -- Grotendieck se stelling -- Tipe -- Kotipe -- Sterk (p, q)-sommerende vermenigvuldiger -- Sterk (p,q)-nukleêre operatore -- U-sommerende vermenigvuldiger -- Sterk U-sommerende vermenigvuldiger -- Absoluut (U, W)-sommerende operatore -- Sterk (U, W)-sommerende operatore -- Sterk (U, W)-nukleêre operatore -- Sterk positiewe (p, q)-sommerende operatore -- Sterk positiewe (p, q)-nukleêre operatore -- Sterk (p, q)-konkawe operatore -- Sterk p-integraal funksies -- (p, q)-integraal vermenigvuldigers -- (p, q)-integraal funksies.

Harmonic and Complex Analysis and its Applications

This volume highlights the main results of the research performed within the network “Harmonic and Complex Analysis and its Applications” (HCAA), which was a five-year (2007–2012) European Science Foundation Programme intended to explore and to strengthen the bridge between two scientific communities: analysts with broad backgrounds in complex and harmonic analysis and mathematical physics, and specialists in physics and applied sciences. It coordinated actions for advancing harmonic and complex analysis and for expanding its application to challenging scientific problems. Particular topics considered by this Programme included conformal and quasiconformal mappings, potential theory, Banach spaces of analytic functions and their applications to the problems of fluid mechanics, conformal field theory, Hamiltonian and Lagrangian mechanics, and signal processing. This book is a collection of surveys written as a result of activities of the Programme and will be interesting and useful for professionals and novices in analysis and mathematical physics, as well as for graduate students. Browsing the volume, the reader will undoubtedly notice that, as the scope of the Programme is rather broad, there are many interrelations between the various contributions, which can be regarded as different facets of a common theme.

Multipliers for (C,alpha)-Bounded Fourier Expansions in Banach Spaces and Approximation Theory