Concerning certain classical operators occurring in multivariate harmonic analysis and not of weak type (1,1)

DOI10.1023/B:MATN.0000036755.66645.CEzbMath1069.42008OpenAlexW2071265263MaRDI QIDQ1889702

L. V. Zhizhiashvili

Publication date: 7 December 2004

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:matn.0000036755.66645.ce

zbMATH Keywords

Cesàro meansmultiple Fourier seriesHardy-Littlewood operatorAbel-Poisson meansmultiple Schwarz operatormultivariate harmonic analysis

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Linear operators on function spaces (general) (47B38) Integral operators (47G10) Fourier series and coefficients in several variables (42B05)

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