Two sided norm estimate of the Bergman projection on L p spaces

Milutin R. Dostanić

Czechoslovak Mathematical Journal (2008)

  • Volume: 58, Issue: 2, page 569-575
  • ISSN: 0011-4642

Abstract

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We give some explicit values of the constants C 1 and C 2 in the inequality C 1 / sin ( π p ) P p C 2 / sin ( π p ) where P p denotes the norm of the Bergman projection on the L p space.

How to cite

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Dostanić, Milutin R.. "Two sided norm estimate of the Bergman projection on $L^p$ spaces." Czechoslovak Mathematical Journal 58.2 (2008): 569-575. <http://eudml.org/doc/31230>.

@article{Dostanić2008,
abstract = {We give some explicit values of the constants $C_\{1\}$ and $C_\{2\}$ in the inequality $C_\{1\}/\{\sin (\frac\{\pi \}\{p\})\}\le \left| P\right| _\{p\}\le C_\{2\}/\{\sin (\frac\{\pi \}\{p\})\}$ where $\left| P\right| _\{p\}$ denotes the norm of the Bergman projection on the $L^\{p\}$ space.},
author = {Dostanić, Milutin R.},
journal = {Czechoslovak Mathematical Journal},
keywords = {Bergman projection},
language = {eng},
number = {2},
pages = {569-575},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Two sided norm estimate of the Bergman projection on $L^p$ spaces},
url = {http://eudml.org/doc/31230},
volume = {58},
year = {2008},
}

TY - JOUR
AU - Dostanić, Milutin R.
TI - Two sided norm estimate of the Bergman projection on $L^p$ spaces
JO - Czechoslovak Mathematical Journal
PY - 2008
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 58
IS - 2
SP - 569
EP - 575
AB - We give some explicit values of the constants $C_{1}$ and $C_{2}$ in the inequality $C_{1}/{\sin (\frac{\pi }{p})}\le \left| P\right| _{p}\le C_{2}/{\sin (\frac{\pi }{p})}$ where $\left| P\right| _{p}$ denotes the norm of the Bergman projection on the $L^{p}$ space.
LA - eng
KW - Bergman projection
UR - http://eudml.org/doc/31230
ER -

References

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  1. Holomorphic Functions and Integral Representations in Several Complex Variables, Springer-Verlag, 1986. (1986) Zbl0591.32002MR0847923
  2. Operator Theory in Function Spaces, Marcel Dekker, New York, 1990. (1990) Zbl0706.47019MR1074007
  3. A sharp norm estimate of the Bergman projection, . Zbl1105.32006

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