Lebesgue points and restricted convergence of Fourier transforms and Fourier series

DOI10.1142/S0219530516500068zbMath1362.42018OpenAlexW2346821745MaRDI QIDQ3179520

Ferenc Weisz

Publication date: 21 December 2016

Published in: Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219530516500068

zbMATH Keywords

Fourier transformsFourier series\(\theta\)-summabilityFejér summabilityLebesgue points

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Summability in several variables (42B08) Summability and absolute summability of Fourier and trigonometric series (42A24)

Related Items (3)

Mixed-norm Herz spaces and their applications in related Hardy spaces ⋮ Restricted convergence of the inverse continuous wavelet transform ⋮ Summability of Fourier transforms on mixed-norm Lebesgue spaces via associated Herz spaces

Cites Work

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• Summability of Multi-Dimensional Trigonometric Fourier Series
• Wiener amalgams and pointwise summability of Fourier transforms and Fourier series
• Cesàro summability with respect to two-parameter Walsh systems

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