Olli Saari

collaborators

3 papers

math.CA2019

Weak differentiability for fractional maximal functions of general $L^{p}$ functions on domains

João P. G. Ramos, Olli Saari, Julian Weigt

Let $Ω \subset R^{n}$ be bounded a domain. We prove under certain structural assumptions that the fractional maximal operator relative to $Ω$ maps $L^{p} (Ω) \to W^{1, p} (Ω)$ …

math.AP2018

The Brunn-Minkowski inequality and a Minkowski problem for $A$ -harmonic Green's function

Murat Akman, John Lewis, Olli Saari +1

In this article we study two classical problems in convex geometry associated to $A$ -harmonic PDEs, quasi-linear elliptic PDEs whose structure is modeled on the $p$ -Lapla…

math.CA2018

Regularity of fractional maximal functions through Fourier multipliers

David Beltran, João Pedro Ramos, Olli Saari

We prove endpoint bounds for derivatives of fractional maximal functions with either smooth convolution kernel or lacunary set of radii in dimensions $n \geq 2$ . We also show that…

Weak differentiability for fractional maximal functions of general Lp functions on domains

The Brunn-Minkowski inequality and a Minkowski problem for A-harmonic Green's function

Regularity of fractional maximal functions through Fourier multipliers

Weak differentiability for fractional maximal functions of general $L^{p}$ functions on domains

The Brunn-Minkowski inequality and a Minkowski problem for $A$ -harmonic Green's function