This paper is devoted to the interpolation principle between spaces of weak type. We
characterise interpolation spaces between two Marcinkiewicz spaces in terms of Hardy type …

In this paper we present a method for determining whether there exists a largest Orlicz
space LA (Ω) satisfying the Sobolev embedding W m LA (Ω)↪ Y (Ω) where Y (Ω) stands for …

We establish equivalence between the boundedness of specific supremum operators and
the optimality of function spaces in Sobolev embeddings acting on domains in ambient …

Marcinkiewicz type interpolation theorems for weak Orlicz martingale spaces and
application - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & …

We establish the equivalence between the boundedness of certain supremum operators
and optimal spaces in Sobolev embeddings. We do this by exploiting known relations …

Inequalities for discrete and continuous supremum operators Rastislav O, lhava In this thesis
we study continuous and discrete supremum operators. In the first part we investigate …

An extension of Marcinkiewicz Interpolation Theorem, allowing intermediate spaces of Orlicz
type, is proved. This generalization yields a necessary and sufficient condition so that every …

Optimal Orlicz domains in Sobolev embeddings Page 1 Optimal Orlicz domains in Sobolev
embeddings Vıt Musil Abstract: In this paper we present a method for determining whether there …

CURRICULUM VITAE ORCiD: 0000-0002-3584-1454 Born: October 15, 1961 in Prague,
Czechoslovakia Citizenship: Czech Republic Employe Page 1 CURRICULUM VITAE LUBOŠ …