On the boundedness of the generalized translation operator on variable exponent Lebesgue spaces

DOI10.1007/s10440-021-00411-8zbMath1466.47024OpenAlexW3158277909MaRDI QIDQ2043329

Esra Kaya, Ismail Ekincioglu, Elina Leonidovna Shishkina

Publication date: 30 July 2021

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-021-00411-8

zbMATH Keywords

variable exponent Lebesgue spacesgeneralized translation operatorLaplace-Bessel 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) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Integral operators (45P05) Linear operators on function spaces (general) (47B38) Integral operators (47G10)

Related Items (2)

Different approach to the decomposition theory of \(HM^p_{q,\Delta_\nu}\) Hardy-Morrey spaces ⋮ Some results concerning Riesz–Bessel transforms of high order

Cites Work

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• Variable Lebesgue spaces. Foundations and harmonic analysis
• 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
• On some variational problems
• Uniform boundedness in \(L^ p\;(p=p(x))\) of some families of convolution operators
• \(B_n\)-maximal operator and \(B_n\)-singular integral operators on variable exponent Lebesgue spaces
• Transmutations, singular and fractional differential equations with applications to mathematical physics
• Regularity for minimizers for functionals of double phase with variable exponents
• On weighted estimates of high-order Riesz--Bessel transformations generated by the generalized shift operator
• Boundedness of Riesz Potential Generated by Generalized Shift Operator on Ba Spaces
• On maximal function and fractional integral, associated with the Bessel differential operator
• Maximal function on generalized Lebesgue spaces L^p(⋅)
• Variable Exponent, Linear Growth Functionals in Image Restoration

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