Integral operators with homogeneous kernels in grand Lebesgue spaces

DOI10.1134/S0001434617110104zbMath1384.45012OpenAlexW2779931963MaRDI QIDQ1702475

Salaudin Umarkhadzhiev

Publication date: 28 February 2018

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434617110104

zbMATH Keywords

Hilbert-type operatorgrand Lebesgue spacetwo-sided estimatespherical meanfractional integration operatorintegral operator with homogeneous kernel

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Integral operators (45P05)

Related Items (6)

On elliptic homogeneous differential operators in grand spaces ⋮ Weighted Hardy operators in grand Lebesgue spaces on \(\mathbb{R}^n\) ⋮ Invertibility of multidimensional integral operators with bihomogeneous kernels ⋮ Homogeneous operators and homogeneous integral operators ⋮ Embedding of grand central Morrey-type spaces into local grand weighted Lebesgue spaces ⋮ Description of the space of Riesz potentials of functions in a grand Lebesgue space on \(\mathbb{R}^n\)

Cites Work

• Generalization of the notion of grand Lebesgue space
• Boundedness criteria for singular integrals in weighted Grand Lebesgue spaces
• Integral operators in non-standard function spaces. Volume 1: Variable exponent Lebesgue and amalgam spaces
• A direct approach to the duality of grand and small Lebesgue spaces
• On the integrability of the Jacobian under minimal hypotheses
• Inverting the \(p\)-harmonic operator
• Duality and reflexivity in grand Lebesgue spaces
• Small Lebesgue spaces and their applications
• Grand and small Lebesgue spaces and their analogs
• Weighted criteria for the Hardy transform under the \(B_p\) condition in grand Lebesgue spaces and some applications
• Riesz fractional integrals in grand Lebesgue spaces on \(\mathbb{R}^{n}\)
• On grand Lebesgue spaces on sets of infinite measure
• The maximal theorem for weighted grand Lebesgue spaces
• The Boundedness of the Riesz Potential Operator from Generalized Grand Lebesgue Spaces to Generalized Grand Morrey Spaces
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