On the convergence in L¹ of singular integrals

DOI10.4064/sm-78-3-321-327zbMath0488.42017OpenAlexW1187176694MaRDI QIDQ3949482

Osvaldo N. Capri, Alberto P. Calderón

Publication date: 1984

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

Full work available at URL: https://eudml.org/doc/218584

zbMATH Keywords

Fourier transformsconvolutionsingular integralsLebesgue measurable functionweak type (1,1)

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20)

Related Items (5)

The ergodic Hilbert transform for Cesàro bounded flows ⋮ Distributional control and generalized analyticity ⋮ The convergence in \(L^1\) of singular integrals in harmonic analysis and ergodic theory ⋮ Hilbert transforms and the equidistribution of zeros of polynomials ⋮ A generalization of Macaev's theorem to non-commutative \(L^ p\)-spaces

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