On Dirichlet type spaces on the unit ball of C n

Małgorzata Michalska

Annales UMCS, Mathematica (2011)

  • Volume: 65, Issue: 2, page 75-86
  • ISSN: 2083-7402

Abstract

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In this paper we discuss characterizations of Dirichlet type spaces on the unit ball of Cn obtained by P. Hu and W. Zhang [2], and S. Li [4].

How to cite

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Małgorzata Michalska. " On Dirichlet type spaces on the unit ball of C n ." Annales UMCS, Mathematica 65.2 (2011): 75-86. <http://eudml.org/doc/267986>.

@article{MałgorzataMichalska2011,
abstract = {In this paper we discuss characterizations of Dirichlet type spaces on the unit ball of Cn obtained by P. Hu and W. Zhang [2], and S. Li [4].},
author = {Małgorzata Michalska},
journal = {Annales UMCS, Mathematica},
keywords = {Dirichlet type spaces; holomorphic functions},
language = {eng},
number = {2},
pages = {75-86},
title = { On Dirichlet type spaces on the unit ball of C n },
url = {http://eudml.org/doc/267986},
volume = {65},
year = {2011},
}

TY - JOUR
AU - Małgorzata Michalska
TI - On Dirichlet type spaces on the unit ball of C n
JO - Annales UMCS, Mathematica
PY - 2011
VL - 65
IS - 2
SP - 75
EP - 86
AB - In this paper we discuss characterizations of Dirichlet type spaces on the unit ball of Cn obtained by P. Hu and W. Zhang [2], and S. Li [4].
LA - eng
KW - Dirichlet type spaces; holomorphic functions
UR - http://eudml.org/doc/267986
ER -

References

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  1. Arazy, J., Fisher, S. D. and Peetre, J., Hankel operators on planar domains, Constr. Approx. 6 (1990), no. 2, 113-138. Zbl0703.47019
  2. Hu, P., Zhang, W., A new characterization of Dirichlet type spaces on the unit ball of Cn, J. Math. Anal. Appl. 259 (2001), no. 2, 453-461. Zbl1011.46021
  3. Hu, P. Y., Shi, J. H., Multipliers on Dirichlet type spaces, Acta Math. Sin. (Engl. Ser.) 17 (2001), no. 2, 263-272.[Crossref] Zbl1006.32006
  4. Li, S., Some new characterizations of Dirichlet type spaces on the unit ball of Cn, J. Math. Anal. Appl. 324 (2006), no. 2, 1073-1083. Zbl1108.32005
  5. Rochberg, R., Wu, Z. J., A new characterization of Dirichlet type spaces and applications, Illinois J. Math. 37 (1993), no. 1, 101-122. Zbl0789.31009
  6. Rudin, W., Function Theory in the Unit Ball of Cn, Springer-Verlag, New York-Berlin, 1980. Zbl0495.32001
  7. Zhu, K., Spaces of Holomorphic Functions in the Unit Ball, Springer-Verlag, New York, 2005. Zbl1067.32005

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