7 citations · 7 across the 3 of their papers we have counts for
4 papers
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 . Under some natural assumptions on we show that the maximal function…
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…
Multiple solutions to cylindrically symmetric curl-curl problems and related Schrödinger equations with singular potentials
Michał Gaczkowski, Jarosław Mederski, Jacopo Schino
We look for multiple solutions to the curl-curl problem \[ \nabla\times\nabla\times\mathbf{U}=h(x,\mathbf{U}),\qquad x\in\mathbb{R}^3,…
Harmonic functions on metric measure spaces
Tomasz Adamowicz, Michał Gaczkowski, Przemysław Górka
We introduce and study strongly and weakly harmonic functions on metric measure spaces defined via the mean value property holding for all and, respectively, for some radii of ball…