Derivative bounds for fractional maximal functions
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- by Emanuel Carneiro and José Madrid PDF
- Trans. Amer. Math. Soc. 369 (2017), 4063-4092 Request permission
Abstract:
In this paper we study the regularity properties of fractional maximal operators acting on $BV$-functions. We establish new bounds for the derivative of the fractional maximal function, both in the continuous and in the discrete settings.References
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Additional Information
- Emanuel Carneiro
- Affiliation: IMPA - Instituto de Matemática Pura e Aplicada, Estrada Dona Castorina 110, Rio de Janeiro - RJ, Brazil, 22460-320
- Email: carneiro@impa.br
- José Madrid
- Affiliation: IMPA - Instituto de Matemática Pura e Aplicada, Estrada Dona Castorina 110, Rio de Janeiro - RJ, Brazil, 22460-320
- Email: josermp@impa.br
- Received by editor(s): June 4, 2015
- Published electronically: June 10, 2016
- © Copyright 2016 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 369 (2017), 4063-4092
- MSC (2010): Primary 26A45, 42B25, 39A12, 46E35, 46E39
- DOI: https://doi.org/10.1090/tran/6844
- MathSciNet review: 3624402