Maximal operator on variable exponent spaces
Adamadze D, Diening L, Kopaliani T (2025)
arXiv:2502.10313.
Preprint | Englisch
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Einrichtung
Abstract / Bemerkung
We explore the boundedness of the Hardy-Littlewood maximal operator $M$ on
variable exponent spaces. Our findings demonstrate that the Muckenhoupt
condition, in conjunction with Nekvinda's decay condition, implies the
boundedness of $M$ even for unbounded exponents. This extends the results of
Lerner, Cruz-Uribe and Fiorenza for bounded exponents. We also introduce a
novel argument that allows approximate unbounded exponents by bounded ones
while preserving the Muckenhoupt and Nekvinda conditions.
Erscheinungsjahr
2025
Zeitschriftentitel
arXiv:2502.10313
Page URI
https://pub.uni-bielefeld.de/record/3000866
Zitieren
Adamadze D, Diening L, Kopaliani T. Maximal operator on variable exponent spaces. arXiv:2502.10313. 2025.
Adamadze, D., Diening, L., & Kopaliani, T. (2025). Maximal operator on variable exponent spaces. arXiv:2502.10313. https://doi.org/10.48550/ARXIV.2502.10313
Adamadze, Daviti, Diening, Lars, and Kopaliani, Tengiz. 2025. “Maximal operator on variable exponent spaces”. arXiv:2502.10313.
Adamadze, D., Diening, L., and Kopaliani, T. (2025). Maximal operator on variable exponent spaces. arXiv:2502.10313.
Adamadze, D., Diening, L., & Kopaliani, T., 2025. Maximal operator on variable exponent spaces. arXiv:2502.10313.
D. Adamadze, L. Diening, and T. Kopaliani, “Maximal operator on variable exponent spaces”, arXiv:2502.10313, 2025.
Adamadze, D., Diening, L., Kopaliani, T.: Maximal operator on variable exponent spaces. arXiv:2502.10313. (2025).
Adamadze, Daviti, Diening, Lars, and Kopaliani, Tengiz. “Maximal operator on variable exponent spaces”. arXiv:2502.10313 (2025).
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