Derivative bounds for fractional maximal functions

E Carneiro, J Madrid - Transactions of the American Mathematical Society, 2017 - ams.org
Accepted Manuscript Page 1 Emanuel Carneiro, José Madrid Derivative bounds for
fractional maximal functions Transactions of the American Mathematical Society DOI …

Endpoint Sobolev and BV continuity for maximal operators

E Carneiro, J Madrid, LB Pierce - Journal of Functional Analysis, 2017 - Elsevier
In this paper we investigate some questions related to the continuity of maximal operators in
W 1, 1 and BV spaces, complementing some well-known boundedness results. Letting M˜ …

The variation of the maximal function of a radial function

H Luiro - 2018 - projecteuclid.org
The variation of the maximal function of a radial function Page 1 DOI: 10.4310/ARKIV.2018.v56.n1.a9
c 2018 by Institut Mittag-Leffler. All rights reserved Ark. Mat., 56 (2018), 147–161 The variation …

[HTML][HTML] On the variation of maximal operators of convolution type

E Carneiro, BF Svaiter - Journal of Functional Analysis, 2013 - Elsevier
In this paper we study the regularity properties of two maximal operators of convolution type:
the heat flow maximal operator (associated to the Gauss kernel) and the Poisson maximal …

Sharp inequalities for the variation of the discrete maximal function

J Madrid - Bulletin of the Australian Mathematical Society, 2017 - cambridge.org
In this paper we establish new optimal bounds for the derivative of some discrete maximal
functions, in both the centred and uncentred versions. In particular, we solve a question …

The variation of the fractional maximal function of a radial function

H Luiro, J Madrid - International Mathematics Research Notices, 2019 - academic.oup.com
In this article, we study the regularity of the non-centered fractional maximal operator. As the
main result, we prove that there exists such that if and is radial function, then. The …

Regularity of discrete multisublinear fractional maximal functions

F Liu, HX Wu - Science China Mathematics, 2017 - Springer
We investigate the regularity properties of discrete multisublinear fractional maximal
operators, both in the centered and uncentered versions. We prove that these operators are …

Endpoint Sobolev and BV continuity for maximal operators, II.

J Madrid - Revista Mathematica Iberoamericana, 2019 - ems.press
In this paper we study some questions about the continuity of classical and fractional
maximal operators in the Sobolev space W1, 1, in both the continuous and discrete setting …

Endpoint Sobolev continuity of the fractional maximal function in higher dimensions

D Beltran, J Madrid - International Mathematics Research …, 2021 - academic.oup.com
We establish continuity map** properties of the noncentered fractional maximal operator
in the endpoint input space for in the cases for which its boundedness is known. More …

BV continuity for the uncentered Hardy–Littlewood maximal operator

C González-Riquelme, D Kosz - Journal of Functional Analysis, 2021 - Elsevier
BV continuity for the uncentered Hardy–Littlewood maximal operator - ScienceDirect Skip to
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