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Currently displaying 1 – 3 of 3

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Generalized fractional integral operators on weak Choquet spaces over quasi-metric measure spaces

Toshihide Futamura; Tetsu Shimomura — 2024

Czechoslovak Mathematical Journal

We prove the boundedness of the generalized fractional maximal operator $M_{α}$ and the generalized fractional integral operator $I_{α}$ on weak Choquet spaces with respect to Hausdorff content over quasi-metric measure spaces.

Lindelöf theorems for monotone Sobolev functions.

Futamura, Toshihide; Mizuta, Yoshihiro — 2003

Annales Academiae Scientiarum Fennicae. Mathematica

Sobolev embeddings for variable exponent Riesz potentials on metric spaces.

Futamura, Toshihide; Mizuta, Yoshihiro; Shimomura, Tetsu — 2006

Annales Academiae Scientiarum Fennicae. Mathematica

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