Almost orthogonal operators on the bitorus

DOI10.1007/S00209-009-0521-ZzbMath1196.42015OpenAlexW2052301978MaRDI QIDQ971914

Elena Prestini

Publication date: 17 May 2010

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

Full work available at URL: https://doi.org/10.1007/s00209-009-0521-z

zbMATH Keywords

a.e. convergence of double Fourier seriesCarleson operator

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Summability in several variables (42B08)

Related Items (3)

New exceptional sets and convergence of the square partial sums of Walsh-Fourier series ⋮ Almost orthogonal operators on the bitorus. II ⋮ PP* estimates for the truncated carleson operator

Cites Work

• Unnamed Item
• \(L^p\) bounds for a maximal dyadic sum operator
• A proof of boundedness of the Carleson operator
• Singular integrals with bilinear phases
• The bi-Carleson operator
• On convergence and growth of partial sums of Fourier series
• Convergence almost everywhere of certain singular integrals and multiple Fourier series
• Singular Integrals on Product Spaces Related to the Carleson Operator
• On the convergence of multiple Fourier series
• Pointwise convergence of Fourier series

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