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Criteria of Nuclearity of Embedding Operators Acting between BERGMAN Spaces and Weighted LEBESQUE Spaces
Author(s) -
Parfenov O. G.
Publication year - 1991
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19911540109
Subject(s) - mathematics , embedding , bergman space , pure mathematics , class (philosophy) , space (punctuation) , operator (biology) , mathematical analysis , linguistics , philosophy , biochemistry , chemistry , repressor , artificial intelligence , computer science , transcription factor , bounded function , gene
In the paper the criteria of nuclearity of embedding operators acting from BERGMAN space into the space L q (μ) are established. Some questions related to P r – summability of these operators are considered. The criteria of nuclearity of embedding operator from H p into L q (μ) for some class of measures and p ≧ q are given.