Michał Gaczkowski

most citedSymmetry and compact embeddings for critical exponents in metric-measure spaces

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.FA2023

Maximal operator in Musielak--Orlicz--Sobolev spaces

Piotr Michał Bies, Michał Gaczkowski, Przemysław Górka

We study the Hardy-Littlewood maximal operator in the Musielak-Orlicz-Sobolev space $W^{1, φ} (R^{n})$ . Under some natural assumptions on $φ$ we show that the maximal function…

math.FA2023

Maximal operator in Hölder spaces

Piotr Michał Bies, Michał Gaczkowski, Przemysław Górka

We study the maximal operator on the variable exponent Hölder spaces in the setting of metric measure spaces. The boundedness is proven for metric measure spaces satisfying an annu…

math.DG2020★ 1 cited

Symmetry and compact embeddings for critical exponents in metric-measure spaces

M. Gaczkowski, P. Górka, D. J. Pons

We obtain a compact Sobolev embedding for $H$ -invariant functions in compact metric-measure spaces, where $H$ is a subgroup of the measure preserving bijections. In Riemannian mani…