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Keywords:
Rearrangements; embeddings; modulus of continuity; Sobolev spaces; Besov spaces; mixed norms
Rearrangements; embeddings; modulus of continuity; Sobolev spaces; Besov spaces; mixed norms
Summary:
This paper is devoted to embedding theorems for classes of functions of several variables. One of our main objectives is to give an analysis of some basic embeddings as well as to study relations between them. We also discuss some methods in this theory that were developed in the last decades. These methods are based on non-increasing rearrangements of functions, iterated rearrangements, estimates of sections of functions, related mixed norms, and molecular decompositions.
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