Isotropic and dominating mixed Besov spaces: A comparison

DOI10.1090/conm/693/13943zbMath1395.46029arXiv1601.04000OpenAlexW2310781693MaRDI QIDQ4635395

Winfried Sickel, Van Kien Nguyen

Publication date: 16 April 2018

Published in: Functional Analysis, Harmonic Analysis, and Image Processing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.04000

zbMATH Keywords

embeddingsdistribution spacesBesov spaces of dominating mixed smoothnessisotropic Sobolev spacesisotropic Besov spacesSobolev spaces of dominating mixed smoothness

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (4)

Discrete decomposition of homogeneous mixed-norm Besov spaces ⋮ Isotropic and dominating mixed Lizorkin-Triebel spaces -- a comparison ⋮ Regression in Tensor Product Spaces by the Method of Sieves ⋮ Pointwise multipliers for Besov spaces of dominating mixed smoothness. II

Cites Work

• Best \(m\)-term approximation and Sobolev-Besov spaces of dominating mixed smoothness -- the case of compact embeddings
• Spaces of functions of mixed smoothness and approximation from hyperbolic crosses
• Tractability of multivariate problems. Volume III: Standard information for operators
• A discrete transform and decompositions of distribution spaces
• Tractability of multivariate problems. Volume I: Linear information
• Tractability of multivariate problems. Volume II: Standard information for functionals.
• Theory of function spaces
• Theory of function spaces II
• Tensor products of Sobolev-Besov spaces and applications to approximation from the hyperbolic cross
• Hölder inequalities and sharp embeddings in function spaces of \(B_{pq}^ s\) and \(F_{pq}^ s\) type
• The Banach envelopes of Besov and Triebel-Lizorkin spaces and applications to partial differential equations
• Hyperbolic cross approximation. Lecture notes given at the courses on constructive approximation and harmonic analysis, Barcelona, Spain, May 30 -- June 3, 2016
• Spline interpolation on sparse grids
• Compression of Wavelet Decompositions
• Function spaces with dominating mixed smoothness
• Intermediate spaces and interpolation, the complex method
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