Paley Projections on Anisotropic Sobolev Spaces on Tori

DOI10.1112/PLMS/S3-65.2.405zbMath0767.46033OpenAlexW2054689092MaRDI QIDQ4024976

Michał Wojciechowski, Aleksander Pełczyński

Publication date: 18 February 1993

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/plms/s3-65.2.405

zbMATH Keywords

coordinate hyperplanesanisotropic Sobolev spaceinvariant complemented subspacePaley projections

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Multipliers for harmonic analysis in several variables (42B15) Lacunary series of trigonometric and other functions; Riesz products (42A55)

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An invariant version of the little Grothendieck theorem for Sobolev spaces

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