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Closures of Bergman–Besov Spaces in the Weighted Bloch Spaces on the Unit Ball

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Abstract

In this paper, via invertible radial differential operators, we characterize the closures of the Bergman–Besov spaces in the weighted Bloch spaces on the unit ball. The results of this paper generalize some previous results of Wen Xu and Ruhan Zhao. We first show on the way that the Bergman–Besov space is contained in the weighted little Bloch space.

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Acknowledgements

The second author would like to thank Professor Zhijian Wu, who introduced the problem, and Professor H. Turgay Kaptanoğlu for his helpful comments and suggestions.

Funding

This work was completed with the support of a TUBITAK project with Project Number 118F405.

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Authors and Affiliations

  1. Faculty of Engineering and Natural Sciences, Sabanci University, 34956, Tuzla, Istanbul, Turkey

    Nihat Gökhan Göğüş

  2. Department of Mathematics, Faculty of Arts and Sciences, Kirşehir Ahi Evran University, Kirşehir, Turkey

    Faruk Yilmaz

Authors
  1. Nihat Gökhan Göğüş
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  2. Faruk Yilmaz
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Correspondence to Nihat Gökhan Göğüş.

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Communicated by H. Turgay Kaptanoglu.

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This article is part of the topical collection “Higher Dimensional Geometric Function Theory and Hypercomplex Analysis” edited by Irene Sabadini, Michael Shapiro and Daniele Struppa.

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Göğüş, N.G., Yilmaz, F. Closures of Bergman–Besov Spaces in the Weighted Bloch Spaces on the Unit Ball. Complex Anal. Oper. Theory 15, 100 (2021). https://doi.org/10.1007/s11785-021-01147-x

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