Potential-type operators in \(L^{p(x)}\) spaces

DOI10.4171/ZAA/1102zbMath1031.46033MaRDI QIDQ1848662

A. Meshki, David E. Edmunds

Publication date: 8 March 2004

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

zbMATH Keywords

fractional integral operators\(L^p\)-spaces with function parameters

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) Kernel operators (47B34)

Related Items

The Dirichlet energy integral and variable exponent Sobolev spaces with zero boundary values, Fractional and hypersingular operators in variable exponent spaces on metric measure spaces, Positive kernel operators in \(L^{p(x)}\) spaces, On Hausdorff-Young inequalities in generalized Lebesgue spaces, One-sided operators inL^p(x)spaces, Riemann-Liouville and higher dimensional Hardy operators for nonnegative decreasing function in \(L^{p(\cdot)}\) spaces, The Dirichlet energy integral on intervals in variable exponent Sobolev spaces, Compactness for the weighted Hardy operator in variable exponent spaces, Weighted criteria for generalized fractional maximal functions and potentials in Lebesgue spaces with variable exponent, On a progress in the theory of lebesgue spaces with variable exponent: maximal and singular operators, Two-weighted Hardy operators in $L^{p(\cdot )}$ spaces and applications, The analogs of the Korovkin theorems in Banach function spaces, On basicity of exponential and trigonometric systems in grand Lebesgue spaces

Cites Work

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• Two-sided estimates on singular values for a class of integral operators on the semi-axis
• Convolution and potential type operators inL^p(x)(Rⁿ)
• Convolution type operators inl^p(x)
• Sobolev embeddings with variable exponent
• Maximal function on generalized Lebesgue spaces L^p(⋅)