José Madrid

activity

20142026

most citedDerivative bounds for fractional maximal functions

83 citations · 156 across the 27 of their papers we have counts for

collaborators

Showing 2019Show all

4 papers · 1 filter

math.CA2019

Regularity of the centered fractional maximal function on radial functions

David Beltran, José Madrid

We study the regularity properties of the centered fractional maximal function $M_{β}$ . More precisely, we prove that the map $f \mapsto ∣\nabla M_{β} f ∣$ is bounded and continuous from…

math.CA2019★ 2 cited

A note about the $l^{p}$ -improving property of the average operators

José Madrid

In this paper we give a short proof of the $ℓ^{p}$ -improving property of the average operator along the square integers and more general quadratic polynomials. Moreover we obtain…

math.CA2019

Directional maximal function along the primes

Laura Cladek, Polona Durcik, Ben Krause +1

We study a two-dimensional discrete directional maximal operator along the set of the prime numbers. We show existence of a set of vectors, which are lattice points in a sufficient…

math.CA2019

Endpoint Sobolev continuity of the fractional maximal function in higher dimensions

David Beltran, José Madrid

We establish continuity mapping properties of the non-centered fractional maximal operator $M_{β}$ in the endpoint input space $W^{1, 1} (R^{d})$ for $d \geq 2$ in the cases for…

Regularity of the centered fractional maximal function on radial functions

A note about the lp-improving property of the average operators

Directional maximal function along the primes

Endpoint Sobolev continuity of the fractional maximal function in higher dimensions

A note about the $l^{p}$ -improving property of the average operators