Differences of weighted composition operators from Hardy space to weighted-type spaces on the unit ball

Ze-Hua Zhou; Yu-Xia Liang

Czechoslovak Mathematical Journal (2012)

  • Volume: 62, Issue: 3, page 695-708
  • ISSN: 0011-4642

Abstract

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In this paper, we limit our analysis to the difference of the weighted composition operators acting from the Hardy space to weighted-type space in the unit ball of ℂ N , and give some necessary and sufficient conditions for their boundedness or compactness. The results generalize the corresponding results on the single weighted composition operators and on the differences of composition operators, for example, M. Lindström and E. Wolf: Essential norm of the difference of weighted composition operators. Monatsh. Math. 153 (2008), 133–143.

How to cite

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Zhou, Ze-Hua, and Liang, Yu-Xia. "Differences of weighted composition operators from Hardy space to weighted-type spaces on the unit ball." Czechoslovak Mathematical Journal 62.3 (2012): 695-708. <http://eudml.org/doc/246862>.

@article{Zhou2012,
abstract = {In this paper, we limit our analysis to the difference of the weighted composition operators acting from the Hardy space to weighted-type space in the unit ball of $\mathbb \{C\}^N$, and give some necessary and sufficient conditions for their boundedness or compactness. The results generalize the corresponding results on the single weighted composition operators and on the differences of composition operators, for example, M. Lindström and E. Wolf: Essential norm of the difference of weighted composition operators. Monatsh. Math. 153 (2008), 133–143.},
author = {Zhou, Ze-Hua, Liang, Yu-Xia},
journal = {Czechoslovak Mathematical Journal},
keywords = {weighted composition operator; Hardy space; weighted Bergman space; essential norm; compact; difference; weighted composition operator; Hardy space; weighted Bergman space; essential norm},
language = {eng},
number = {3},
pages = {695-708},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Differences of weighted composition operators from Hardy space to weighted-type spaces on the unit ball},
url = {http://eudml.org/doc/246862},
volume = {62},
year = {2012},
}

TY - JOUR
AU - Zhou, Ze-Hua
AU - Liang, Yu-Xia
TI - Differences of weighted composition operators from Hardy space to weighted-type spaces on the unit ball
JO - Czechoslovak Mathematical Journal
PY - 2012
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 62
IS - 3
SP - 695
EP - 708
AB - In this paper, we limit our analysis to the difference of the weighted composition operators acting from the Hardy space to weighted-type space in the unit ball of $\mathbb {C}^N$, and give some necessary and sufficient conditions for their boundedness or compactness. The results generalize the corresponding results on the single weighted composition operators and on the differences of composition operators, for example, M. Lindström and E. Wolf: Essential norm of the difference of weighted composition operators. Monatsh. Math. 153 (2008), 133–143.
LA - eng
KW - weighted composition operator; Hardy space; weighted Bergman space; essential norm; compact; difference; weighted composition operator; Hardy space; weighted Bergman space; essential norm
UR - http://eudml.org/doc/246862
ER -

References

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