Inequalities on Bergman spaces
نویسندگان
چکیده
منابع مشابه
Compact Operators on Bergman Spaces
We prove that a bounded operator S on La for p > 1 is compact if and only if the Berezin transform of S vanishes on the boundary of the unit disk if S satisfies some integrable conditions. Some estimates about the norm and essential norm of Toeplitz operators with symbols in BT are obtained.
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We study harmonic Bergman functions on the upper half-space of Rn. Among our main results are: The Bergman projection is bounded for the range 1 < p <∞; certain nonorthogonal projections are bounded for the range 1 ≤ p < ∞; the dual space of the Bergman L1-space is the harmonic Bloch space modulo constants; harmonic conjugation is bounded on the Bergman spaces for the range 1 ≤ p <∞; the Bergma...
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ژورنال
عنوان ژورنال: Illinois Journal of Mathematics
سال: 1981
ISSN: 0019-2082
DOI: 10.1215/ijm/1256047358