8 citations · 8 across the 3 of their papers we have counts for
5 papers · 1 filter
Sharp exponential inequalities for the Ornstein-Uhlenbeck operator
Andrea Cianchi, Vít Musil, Luboš Pick
The optimal constants in a class of exponential type inequalities for the Ornstein-Uhlenbeck operator in the Gauss space are detected. The existence of extremal functions in the re…
Optimal Orlicz domains in Sobolev embeddings into Marcinkiewicz spaces
Vít Musil
In this paper we present a method for determining whether there exists a largest Orlicz space satisfying the Sobolev embedding where stands for…
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…
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…
Fractional Maximal Operator in Orlicz spaces
Vít Musil
We study the fractional maximal operator acting between Orlicz spaces. We characterise whether the operator is bounded between two given Orlicz spaces. Also a necessary and suffici…