Variable exponent weighted norm inequality for generalized Riesz potentials

DOI10.5186/aasfm.2018.4336zbMath1393.46023OpenAlexW2792111690WikidataQ130168111 ScholiaQ130168111MaRDI QIDQ4608989

Yoshihiro Mizuta, Fumi-Yuki Maeda, Tetsu Shimomura

Publication date: 29 March 2018

Published in: Annales Academiae Scientiarum Fennicae Mathematica (Search for Journal in Brave)

Full work available at URL: http://www.acadsci.fi/mathematica/Vol43/MaedaMizutaShimomura.html

zbMATH Keywords

weighted norm inequalitySobolev's inequalityvariable exponentRiesz potentials

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) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Related Items (4)

Nonhomogeneous central Morrey-type spaces in \(L^{p(\cdot)}\) and weak estimates for the maximal and Riesz potential operators ⋮ Hardy–Sobolev inequality for Sobolev functions in central Herz–Morrey spaces ⋮ Weak estimates for the maximal and Riesz potential operators on non-homogeneous central Morrey type spaces in L^1 over metric measure spaces ⋮ Weak estimates for the maximal and Riesz potential operators in non-homogeneous central Herz-Morrey spaces

Cites Work

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• Weighted Sobolev inequality in Musielak-Orlicz space
• The fractional maximal operator and fractional integrals on variable \(L^p\) spaces
• Integral representations, differentiability properties and limits at infinity for Beppo Levi functions
• Taylor expansion of Riesz potentials
• Some remarks on the Hardy-Littlewood maximal function on variable \(L^p\) spaces
• Weighted Sobolev theorem in Lebesgue spaces with variable exponent
• Weighted Norm Inequalities for Fractional Integrals
• Weighted Morrey spaces of variable exponent and Riesz potentials

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