Sobolev type inequalities for fractional maximal functions and Riesz potentials in half-spaces

We study Sobolev type inequalities for fractional maximal functions $M_{\mathbb H,\nu}f$ and Riesz potentials $I_{\mathbb H,\alpha} f$ of functions in weighted Morrey spaces with the double phase functional $\Phi (x,t) = t^{p} + (b(x)t)^{q}$ in the half-s

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Publication Details

Journal
Studia Mathematica
Published
2025-01-01
DOI
https://doi.org/10.4064/sm210407-13-2
Primary Topic
Numerical methods in engineering
Type
article
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article

Sobolev type inequalities for fractional maximal functions and Riesz potentials in half-spaces

Tetsu Shimomura, Yoshihiro Mizuta
Studia Mathematica
Numerical methods in engineering
article

Sobolev type inequalities for fractional maximal functions and Riesz potentials in half-spaces

Tetsu Shimomura, Yoshihiro Mizuta
article en

Abstract

We study Sobolev type inequalities for fractional maximal functions $M_{\mathbb H,\nu}f$ and Riesz potentials $I_{\mathbb H,\alpha} f$ of functions in weighted Morrey spaces with the double phase functional $\Phi (x,t) = t^{p} + (b(x)t)^{q}$ in the half-s

Studia MathematicaVol. 281(3)
Hiroshima University (JP)
Reduced inequalities
Openalex Percentile: Top 93%
Numerical methods in engineering
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Sobolev type inequalities for fractional maximal functions and Riesz potentials in half-spaces — Tetsu Shimomura, Yoshihiro Mizuta · Studia Mathematica (2025) | TGRS Research Map | TGRS