On singular integrals, multipliers, \(H^ 1 \)and Fourier series - a local field phenomenon

DOI10.1007/BF01460798zbMath0506.43007OpenAlexW2052945293MaRDI QIDQ1836834

Keith Phillips, James E. Daly

Publication date: 1983

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163820

zbMATH Keywords

gamma functionHardy spacespointwise convergencespaces of distributionsEuclidean singular integral theory

Mathematics Subject Classification ID

(H^p)-spaces (42B30) Analysis on (p)-adic Lie groups (22E35) Analysis on specific locally compact and other abelian groups (43A70)

Cites Work

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• Estimates for translation invariant operators in \(L^p\) spaces
• Hilbert transforms for the p-adic and p-series fields
• Special functions on locally compact fields
• Singular integrals in several variables over a local field
• On the existence of certain singular integrals
• Generalized conjugate systems on local fields
• On the Necessity of the Hormander Condition for Multipliers on H p (R n )
• The invalidity of the Calderon-Zygmund inequality for singular integrals over local fields
• Fourier Analysis on Local Fields. (MN-15)
• Mean Convergence of Generalized Walsh-Fourier Series
• Extensions of Hardy spaces and their use in analysis
• Characterisations of $H^1$ by singular intetgral transforms on martingales and $\mathsf{R}^n$
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
• On a class of complete orthonormal systems
• Almost Everywhere Convergence of Fourier Series on the Ring of Integers of a Local Field
• $H^{p}$-spaces of conjugate systems on local fields