An unconditional basis in periodic spaces with dominating mixed smoothness properties

DOI10.1007/BF02202573zbMath0634.46006OpenAlexW128613099MaRDI QIDQ1096845

Hans-Juergen Schmeisser

Publication date: 1987

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02202573

zbMATH Keywords

Schauder basisunconditional basisperiodic spacesreduce certain integral operators between Besov spaces to matrix operators between corresponding sequence spacesspaces with mixed smoothness properties

Mathematics Subject Classification ID

Multipliers for harmonic analysis in several variables (42B15) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Linear operators on function spaces (general) (47B38) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items (4)

Marcinkiewicz-Zygmund-type inequalities, trigonometric interpolation on non-uniform grids and unconditional Schauder bases in Besov spaces on the torus ⋮ Wavelet approximation and Fourier widths of classes of periodic functions of several variables. I ⋮ A note on level-2 condition numbers ⋮ Tensor products of Sobolev-Besov spaces and applications to approximation from the hyperbolic cross

Cites Work

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• The spaces \(L^ p\), with mixed norm
• Eigenvalues of integral operators. I
• On multipliers in the spaces \(B^r_{p,\Theta}\).
• On strong summability of multiple Fourier series and smoothness properties of functions
• Isomorphism of Besov spaces \(B^{(r)}_{p,\theta}(R^n)\) with the space \(\ell_\theta(\ell_p)\). On zero-spaces \(B^0_{p,\theta}(R^n)\)
• The multiplier problem for the ball
• Stone Duality for Nominal Boolean Algebras with И
• Entropy Numbers of Matrix Operators in Besov Sequence Spaces
• An Extended Inequality for the Maximal Function
• Multipliers and Unconditional Schauder bases in Besov spaces
• On multipliers preserving convergence of trigonometric series almost everywhere
• Über die Existenz von Schauderbasen in Sobolev-Besov-Räumen. Isomorphiebeziehungen

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