Variants of the Maximal Double Hilbert Transform

DOI10.2307/2000313zbMath0524.44002OpenAlexW4248145779MaRDI QIDQ3038000

Elena Prestini

Publication date: 1985

Full work available at URL: https://doi.org/10.2307/2000313

zbMATH Keywords

Lpalmost everywhere convergence of double Fourier seriesmaximal double Hilbert transform

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Convergence and absolute convergence of Fourier and trigonometric series (42A20)

Related Items (4)

Singular integrals on product spaces with variable coefficients ⋮ Singular integrals with bilinear phases ⋮ Almost orthogonal operators on the bitorus. II ⋮ PP* estimates for the truncated carleson operator

Cites Work

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• Singular integrals on product spaces
• On convergence and growth of partial sums of Fourier series
• Convergence almost everywhere of certain singular integrals and multiple Fourier series
• A weighted norm inequality for singular integrals
• Some Maximal Inequalities
• Pointwise convergence of Fourier series

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