A martingale proof of \(L_ 2\) boundedness of Clifford-valued singular integrals

DOI10.1007/BF01765857zbMath0814.42009OpenAlexW2085974926MaRDI QIDQ1327156

R.-L. Long, Garth I. Gaudry, Tao Qian

Publication date: 18 June 1995

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01765857

zbMATH Keywords

boundednessCauchy principal value integralHaar functionsClifford algebra-valued martingalesClifford-Haar functionsClifford-valued \(T(b)\) theoremClifford-valued singular integralsLittlewood-Paley estimatespseudoaccretive weight

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Clifford algebras, spinors (15A66) Martingales and classical analysis (60G46)

Related Items

Positive-instantaneous frequency and approximation, On the inversion of Fueter's theorem, Unbounded holomorphic Fourier multipliers on starlike Lipschitz surfaces and applications to Sobolev spaces, Uniform generalizations of Fueter's theorem, Singular integrals and Fourier multipliers on unit spheres and their Lipschitz perturbations, A class of Fourier multipliers on starlike Lipschitz surfaces, Cauchy integrals on Lipschitz surfaces in octonionic space, A Theory on Non-Constant Frequency Decompositions and Applications, A class of singular integrals on the \(n\)-complex unit sphere, Function theory for Laplace and Dirac-Hodge operators in hyperbolic space, Fourier analysis on starlike Lipschitz surfaces, Convolution Singular Integrals on Lipschitz Surfaces, The \(H^{\infty}\) functional calculus based on the \(S\)-spectrum for quaternionic operators and for \(n\)-tuples of noncommuting operators, Clifford martingale \(\Phi\)-equivalence between \(S(f)\) and \(f^*\)

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