Commuting Toeplitz operators on the pluriharmonic Bergman space

Young Joo Lee

Czechoslovak Mathematical Journal (2004)

  • Volume: 54, Issue: 2, page 535-544
  • ISSN: 0011-4642

Abstract

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We prove that two Toeplitz operators acting on the pluriharmonic Bergman space with radial symbol and pluriharmonic symbol respectively commute only in an obvious case.

How to cite

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Lee, Young Joo. "Commuting Toeplitz operators on the pluriharmonic Bergman space." Czechoslovak Mathematical Journal 54.2 (2004): 535-544. <http://eudml.org/doc/30880>.

@article{Lee2004,
abstract = {We prove that two Toeplitz operators acting on the pluriharmonic Bergman space with radial symbol and pluriharmonic symbol respectively commute only in an obvious case.},
author = {Lee, Young Joo},
journal = {Czechoslovak Mathematical Journal},
keywords = {Toeplitz operators; pluriharmonic Bergman space; Toeplitz operators; pluriharmonic Bergman space},
language = {eng},
number = {2},
pages = {535-544},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Commuting Toeplitz operators on the pluriharmonic Bergman space},
url = {http://eudml.org/doc/30880},
volume = {54},
year = {2004},
}

TY - JOUR
AU - Lee, Young Joo
TI - Commuting Toeplitz operators on the pluriharmonic Bergman space
JO - Czechoslovak Mathematical Journal
PY - 2004
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 54
IS - 2
SP - 535
EP - 544
AB - We prove that two Toeplitz operators acting on the pluriharmonic Bergman space with radial symbol and pluriharmonic symbol respectively commute only in an obvious case.
LA - eng
KW - Toeplitz operators; pluriharmonic Bergman space; Toeplitz operators; pluriharmonic Bergman space
UR - http://eudml.org/doc/30880
ER -

References

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  8. Toeplitz and Hankel operators on harmonic Bergman spaces, Preprint. 
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  10. 10.1090/S0002-9947-98-02051-0, Trans. Amer. Math. Soc. 350 (1998), 1595–1618. (1998) Zbl0893.47015MR1443898DOI10.1090/S0002-9947-98-02051-0

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