This book deals with the constructive Weierstrassian approach to the theory of function
spaces and various applications. The first chapter is devoted to a detailed study of …

Classical Sobolev spaces, based on Lebesgue spaces on an underlying domain with
smooth boundary, are not only of considerable intrinsic interest but have for many years …

Characterisations of function spaces of generalised smoothness Page 1 Digital Object
Identifier (DOI) 10.1007/s10231-004-0110-z Annali di Matematica 185, 1–62 (2006) Walter …

The first chapters of this book deal with Haar bases, Faber bases and some spline bases for
function spaces in Euclidean $ n $-space and $ n $-cubes. These are used in the …

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American Mathematical Society American Mathematical Society MathSciNet Bookstore …

The monograph gives a detailed exposition of the theory of general elliptic operators (scalar
and matrix) and elliptic boundary value problems in Hilbert scales of Hörmander function …

Until now, no book has systematically presented the recently developed concept of
envelopes in function spaces. Envelopes are relatively simple tools for the study of classical …

The paper gives a detailed survey of recent results on elliptic problems in Hilbert spaces of
generalized smoothness. The latter are the isotropic Hörmander spaces $ H^{s,\varphi}:= B …

We study the spaces B^s(⋅)_p(⋅),q(⋅)(R^n) and F^s(⋅)_p(⋅),q(⋅)(R^n) of Besov and
Triebel-Lizorkin type as introduced recently in Almeida and Hästö (J. Funct. Anal. 258 (5) …

We introduce 2-microlocal Besov and Triebel-Lizorkin spaces with variable integrability and
give a characterization by local means. These spaces cover spaces of variable exponent …