30 citations · 85 across the 17 of their papers we have counts for
4 papers · 1 filter
Sobolev embeddings, rearrangement-invariant spaces and Frostman measures
Andrea Cianchi, Luboš Pick, Lenka Slavíková
Sobolev embeddings, of arbitrary order, are considered into function spaces on domains of endowed with measures whose decay on balls is dominated by a power of th…
Moser inequalities in Gauss space
Andrea Cianchi, Vít Musil, Luboš Pick
The sharp constants in a family of exponential Sobolev type inequalities in Gauss space are exhibited. They constitute the Gaussian analogues of the Moser inequality in the borderl…
Weighted inequalities for discrete iterated Hardy operators
Amiran Gogatishvili, Martin Křepela, Rastislav Oľhava +1
We characterize a three-weight inequality for an iterated discrete Hardy-type operator. In the case when the domain space is a weighted space with , we develop…
Boundedness of classical operators on rearrangement-invariant spaces
David E. Edmunds, Zdeněk Mihula, Vít Musil +1
We study the behaviour on rearrangement-invariant spaces of such classical operators of interest in harmonic analysis as the Hardy-Littlewood maximal operator (including the fracti…