On bases and multipliers in the spaces \(B^ r_{p,\theta}(T)\)

zbMath0468.46020MaRDI QIDQ1156332

P. I. Lizorkin

Publication date: 1977

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Besov spaceunconditional basisFourier multiplierinterpolation polynomialperiodic distributionrepresentation of one-sided exponential polynomials of odd order

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Multipliers in one variable harmonic analysis (42A45)

Related Items (4)

Marcinkiewicz-Zygmund-type inequalities, trigonometric interpolation on non-uniform grids and unconditional Schauder bases in Besov spaces on the torus ⋮ \(B_{p\theta}^{\varphi}([0,1;H)\) with the Haar basis] ⋮ Fourier multipliers on Triebel-Lizorkin-type spaces ⋮ Strong summability of Fourier series and Morrey spaces

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