Criteria of Nuclearity of Embedding Operators Acting between BERGMAN Spaces and Weighted LEBESQUE Spaces | Zendy

Parfenov O. G. | Zendy

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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.

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