\(B_n\)-maximal operator and \(B_n\)-singular integral operators on variable exponent Lebesgue spaces

DOI10.1515/ms-2017-0401OpenAlexW3059360559MaRDI QIDQ2057860

Esra Kaya, Vagif S. Guliyev, Ismail Ekincioglu

Publication date: 7 December 2021

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ms-2017-0401

zbMATH Keywords

variable exponent Lebesgue spacesLaplace-Bessel differential operator\(B_n\)-maximal operator\(B_n\)-singular integral operators

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) (H^p)-spaces (42B30)

Related Items

Some results concerning Riesz–Bessel transforms of high order ⋮ On the boundedness of the generalized translation operator on variable exponent Lebesgue spaces ⋮ A note on maximal operators related to Laplace-Bessel differential operators on variable exponent Lebesgue spaces ⋮ Multilinear commutators of Calderón-Zygmund operator on generalized variable exponent Morrey spaces

Cites Work

• Variable Lebesgue spaces. Foundations and harmonic analysis
• Weights, extrapolation and the theory of Rubio de Francia.
• Lebesgue and Sobolev spaces with variable exponents
• The boundedness of high order Riesz-Bessel transformations generated by the generalized shift operator in weighted \(L_{p,\omega ,\gamma}\)-spaces with general weights
• Topology of the space \(\mathcal L^{p(t)}([0,t)\)]
• The Sobolev theorem for the Riesz \(B\)-potentials
• Atomic decomposition of Hardy spaces and characterization of \(BMO\) via Banach function spaces
• 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
• Almost everywhere summability of Laguerre series
• WEIGHTED ESTIMATES OF MULTIDIMENSIONAL SINGULAR INTEGRALS GENERATED BY THE GENERALIZED SHIFT OPERATOR
• On maximal function and fractional integral, associated with the Bessel differential operator
• Maximal Operator in Variable Exponent Lebesgue Spaces on Unbounded Quasimetric Measure Spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item