Function spaces with dominating mixed smoothness

DOI10.4171/195zbMath1414.46005OpenAlexW2901943708MaRDI QIDQ1755284

Hans Triebel

Publication date: 9 January 2019

Published in: EMS Series of Lectures in Mathematics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/50a7d3fb38a189e4581fcf8643b66a206572bc90

zbMATH Keywords

anisotropic function spacesdominating mixed smoothnessWhitney decompositionspaces on domains

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Multidimensional problems (41A63) General harmonic expansions, frames (42C15) Research exposition (monographs, survey articles) pertaining to functional analysis (46-02) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Approximate quadratures (41A55) Approximation by other special function classes (41A30)

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Lebesgue-type inequalities in greedy approximation ⋮ Rate-optimal sparse approximation of compact break-of-scale embeddings ⋮ Path regularity of the Brownian motion and the Brownian sheet ⋮ Truncations and compositions in function spaces ⋮ Boundary value problems with rough boundary data ⋮ Sampling discretization error of integral norms for function classes with small smoothness ⋮ Morrey smoothness spaces: a new approach ⋮ Sampling discretization error of integral norms for function classes ⋮ Sample paths of white noise in spaces with dominating mixed smoothness ⋮ Turing patterns, Lengyel–Epstein systems and Faber splines

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