Convergence of multi-dimensional integral operators and applications

DOI10.1007/S10998-016-0157-9zbMath1399.42047OpenAlexW2529149058MaRDI QIDQ524173

Kristóf Szarvas, Ferenc Weisz

Publication date: 25 April 2017

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10998-016-0157-9

zbMATH Keywords

variable Lebesgue spacesmultidimensional \(\theta\)-summationmultidimensional discrete wavelet transform

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Summability in several variables (42B08)

Related Items (1)

Mixed-norm Herz spaces and their applications in related Hardy spaces

Cites Work

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• Variable Lebesgue spaces. Foundations and harmonic analysis
• Lebesgue and Sobolev spaces with variable exponents
• Local convergence for wavelet expansions
• (\(C,\alpha\)) summability of Walsh--Kaczmarz--Fourier series
• Herz spaces and restricted summability of Fourier transforms and Fourier series
• Inversion formulas for the continuous wavelet transform
• Pointwise convergence of cone-like restricted two-dimensional \((C,1)\) means of trigonometric Fourier series
• The Segal algebra \(\mathbf S_0(\mathbb R^d)\) and norm summability of Fourier series and Fourier transforms
• Weak- and strong-type inequality for the cone-like maximal operator in variable Lebesgue spaces
• Ten Lectures on Wavelets
• Pointwise convergence of wavelet expansions
• Summability of Multi-Dimensional Fourier Series and Hardy Spaces
• Summability of Multi-Dimensional Trigonometric Fourier Series
• Wiener amalgams and pointwise summability of Fourier transforms and Fourier series

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