Contractive inequalities for mixed norm spaces and the Beta function
Journal of Mathematical Analysis and Applications(2022)
摘要
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.(c) 2021 Elsevier Inc. All rights reserved.
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关键词
Weighted Bergman spaces,Mixed norm spaces,Contractive norm inequalities,Beta function
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