Olli Saari

activity

20182026

collaborators

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4 papers · 1 filter

math.CA2025

Domains with globally exponentially integrable parabolic forward-in-time BMO

Kim Myyryläinen, Tuomas Oikari, Olli Saari

We characterize those open sets of the space time in which parabolic forward-in-time BMO functions are in a certain forward-in-time exponential integrability class. The characteriz…

math.CA2024

Uniform bounds for bilinear symbols with linear K-quasiconformally embedded singularity

Marco Fraccaroli, Olli Saari, Christoph Thiele

We prove bounds in the strict local $L^{2} (R^{d})$ range for trilinear Fourier multiplier forms with a $d$ -dimensional singular subspace. Given a fixed parameter $K \geq 1$ …

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.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…

Domains with globally exponentially integrable parabolic forward-in-time BMO

Uniform bounds for bilinear symbols with linear K-quasiconformally embedded singularity

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

Regularity of fractional maximal functions through Fourier multipliers

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