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

Toshihide Futamura; Tetsu Shimomura

Czechoslovak Mathematical Journal (2024)

  • Volume: 74, Issue: 3, page 905-913
  • ISSN: 0011-4642

Abstract

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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.

How to cite

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Futamura, Toshihide, and Shimomura, Tetsu. "Generalized fractional integral operators on weak Choquet spaces over quasi-metric measure spaces." Czechoslovak Mathematical Journal 74.3 (2024): 905-913. <http://eudml.org/doc/299299>.

@article{Futamura2024,
abstract = {We prove the boundedness of the generalized fractional maximal operator $M_\{\alpha \}$ and the generalized fractional integral operator $I_\{\alpha \}$ on weak Choquet spaces with respect to Hausdorff content over quasi-metric measure spaces.},
author = {Futamura, Toshihide, Shimomura, Tetsu},
journal = {Czechoslovak Mathematical Journal},
keywords = {fractional integral operator; quasi-metric measure space; Hausdorff content; weak Choquet space; Ahlfors regular},
language = {eng},
number = {3},
pages = {905-913},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Generalized fractional integral operators on weak Choquet spaces over quasi-metric measure spaces},
url = {http://eudml.org/doc/299299},
volume = {74},
year = {2024},
}

TY - JOUR
AU - Futamura, Toshihide
AU - Shimomura, Tetsu
TI - Generalized fractional integral operators on weak Choquet spaces over quasi-metric measure spaces
JO - Czechoslovak Mathematical Journal
PY - 2024
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 74
IS - 3
SP - 905
EP - 913
AB - We prove the boundedness of the generalized fractional maximal operator $M_{\alpha }$ and the generalized fractional integral operator $I_{\alpha }$ on weak Choquet spaces with respect to Hausdorff content over quasi-metric measure spaces.
LA - eng
KW - fractional integral operator; quasi-metric measure space; Hausdorff content; weak Choquet space; Ahlfors regular
UR - http://eudml.org/doc/299299
ER -

References

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