Differentiability properties of Orlicz-Sobolev functions

analysis will then be applied, in section three, to existing representa- tions of bounded linear operators on Orlicz spaces to obtain a cha- racterization of

The purpose of this paper is to investigate this problem for weighted Bergman-Orlicz spaces, that is to answer the question: does there exist some Orlicz function ψ such that

In [5.3 itwa3 shown that if H is a bounded hermitian operator on the semi-inner-product space E, then H is a (bounded of course) hermitian operator on any semi-inner-product

Pointwise inequalities for pairs of L p -functions are used both as a definition of a Sobolev space in a metric space, and as a tool to show that different definitions give the same set

In this paper we wish to consider the special case when L , becomes an algebra (under pointwise multiplication); in this case we shall say that L~ is an

In this short article we show a particular version of the Hedberg inequality which can be used to derive, in a very simple manner, functional inequalities involving Sobolev and

Orlicz-Sobolev and Marcinkiewicz spaces and about the behaviour of norms in these spaces under rearrangements of functions.. Here, A is an N-function and A is its

The vector spaces we use here are defined over the field K of the real or complex numbers. We mean under "space" a separated locally convex space. We say that E is