A note on maximal operators related to Laplace-Bessel differential operators on variable exponent Lebesgue spaces

DOI10.1515/MATH-2021-0041zbMath1478.42019OpenAlexW3164041620MaRDI QIDQ2053607

Esra Kaya

Publication date: 29 November 2021

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

Full work available at URL: https://doi.org/10.1515/math-2021-0041

zbMATH Keywords

singular integralsvariable exponent Lebesgue spaces\(B\)-maximal operatorgeneralized translation operator

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Conjugate functions, conjugate series, singular integrals (42A50)

Related Items (1)

Some results concerning Riesz–Bessel transforms of high order

Cites Work

• The fractional maximal operator and fractional integrals on variable \(L^p\) spaces
• The boundedness of high order Riesz-Bessel transformations generated by the generalized shift operator in weighted \(L_{p,\omega ,\gamma}\)-spaces with general weights
• The Sobolev theorem for the Riesz \(B\)-potentials
• \(B_n\)-maximal operator and \(B_n\)-singular integral operators on variable exponent Lebesgue spaces
• A regularity criterion of the 3D MHD equations involving one velocity and one current density component in Lorentz space
• Singular integrals generated by the operator of generalized translation. I
• Singular integrals generated by a general translation operator. II
• Maximal functions on Musielak--Orlicz spaces and generalized Lebesgue spaces
• On weighted estimates of high-order Riesz--Bessel transformations generated by the generalized shift operator
• Almost everywhere summability of Laguerre series
• On maximal function and fractional integral, associated with the Bessel differential operator
• Maximal function on generalized Lebesgue spaces L^p(⋅)
• Maximal Operator in Variable Exponent Lebesgue Spaces on Unbounded Quasimetric Measure Spaces
• Bessel type Kolmogorov inequalities on weighted Lebesgue spaces
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