On the boundedness of square function generated by the Bessel differential operator in weighted Lebesque \(L_{p,\alpha}\) spaces

DOI10.1515/MATH-2018-0067zbMath1402.42030OpenAlexW2814587864MaRDI QIDQ1617078

Simten Bayrakçı

Publication date: 7 November 2018

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2018-0067

zbMATH Keywords

Bessel transformgeneralized translationBessel differential operatorsquare functiongeneralized convolutionBessel Plancherel formulaBessel translation operator

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Convolution, factorization for one variable harmonic analysis (42A85)

Cites Work

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• Square-like functions generated by the Laplace-Bessel differential operator
• Square-like functions generated by a composite wavelet transform
• On inversion of Bessel potentials associated with the Laplace-Bessel differential operator
• Walsh multipliers and square functions for the Hardy space \(H^1\)
• Weak type estimates of square functions associated with quasiradial Bochner-Riesz means on certain Hardy spaces
• Singular integrals generated by the operator of generalized translation. I
• Singular integrals generated by a general translation operator. II
• On weighted estimates of high-order Riesz--Bessel transformations generated by the generalized shift operator
• WEIGHTED ESTIMATES OF MULTIDIMENSIONAL SINGULAR INTEGRALS GENERATED BY THE GENERALIZED SHIFT OPERATOR
• On maximal function and fractional integral, associated with the Bessel differential operator
• Square functions in ergodic theory
• Generalized Riesz potential spaces and their characterization viawavelet-type transform
• Some properties of the anisotropic Riesz-Bessel potential

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