Variable exponent weighted norm inequality for generalized Riesz potentials on the unit ball

DOI10.1007/s13348-017-0210-xzbMath1405.46023OpenAlexW2769080422MaRDI QIDQ1784969

Fumi-Yuki Maeda, Tetsu Shimomura, Yoshihiro Mizuta

Publication date: 27 September 2018

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

Full work available at URL: https://doi.org/10.1007/s13348-017-0210-x

zbMATH Keywords

Sobolev inequalityweighted norm inequalityvariable exponentRiesz potentialsSobolev integral representation

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 (5)

Hardy-Sobolev inequality in Herz spaces ⋮ Weak estimates for the maximal and Riesz potential operators in central Herz-Morrey spaces on the unit ball ⋮ Boundedness of the maximal and potential operators in Herz-Morrey type spaces ⋮ Weak estimates for the maximal and Riesz potential operators in non-homogeneous central Herz-Morrey spaces ⋮ HERZ–MORREY SPACES ON THE UNIT BALL WITH VARIABLE EXPONENT APPROACHING AND DOUBLE PHASE FUNCTIONALS

Cites Work

• Lebesgue and Sobolev spaces with variable exponents
• Weighted Sobolev inequality in Musielak-Orlicz space
• The fractional maximal operator and fractional integrals on variable \(L^p\) spaces
• Riesz decomposition for superbiharmonic functions in the unit ball
• Integral representations, differentiability properties and limits at infinity for Beppo Levi functions
• Taylor expansion of Riesz potentials
• Weighted Sobolev theorem in Lebesgue spaces with variable exponent
• Weighted Norm Inequalities for Fractional Integrals
• Weighted Morrey spaces of variable exponent and Riesz potentials
• Riesz decomposition for super-polyharmonic functions in the punctured unit ball
• A generalization of Bôcher's theorem for polyharmonic functions
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