Contractive inequalities for mixed norm spaces and the Beta function

Abstract

For a wide range of pairs of mixed norm spaces such that one space is contained in another, we characterize all cases when contractive norm inequalities hold. In particular, this yields such results for many pairs of weighted Bergman spaces. Some inequalities of this type are motivated by their applications in Number Theory and in Mathematical Physics.

A misprint on p. 2 has been corrected. New references have been added

References in corpus (2)

• An inequality of Hardy--Littlewood type for Dirichlet polynomials
• On the spectral properties of the Bloch-Torrey equation in infinite periodically perforated domains

Cited by in corpus (1)

• Contractive inequalities between Dirichlet and Hardy spaces