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Comparison of Two Topologies on Weighted Szegő Space

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Geometric Methods in Physics XXXIX (WGMP 2022)

Part of the book series: Trends in Mathematics ((TM))

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Abstract

The aim of this paper is to compare two topologies on weighted Szegő space—the topology of convergence in norm and the topology of locally uniform convergence.

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References

  1. Bell, S., Ligocka, E.: A simplification and extension of Fefferman’s theorem on biholomorphic mappings. Invent. Math. 57(3), 283–289 (1980). https://doi.org/10.1007/BF01418930

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  3. Hörmander, L.: An introduction to complex analysis in several variables, North-Holland Mathematical Library, vol. 7, third edn. North-Holland Publishing Co., Amsterdam (1990)

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  4. Żynda, T.Ł.: On Weights Which Admit Reproducing Kernel of Szegő Type. Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences) 55(5), 320–327 (2020). https://doi.org/10.3103/S1068362320050064

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Author information

Authors and Affiliations

  1. Faculty of Cybernetics, Military University of Technology, Warsaw, Poland

    Tomasz Łukasz Żynda

  2. Faculty of Mathematics and Information Science, Warsaw University of Technology, Warsaw, Poland

    Zbigniew Pasternak-Winiarski

Authors
  1. Tomasz Łukasz Żynda
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  2. Zbigniew Pasternak-Winiarski
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Corresponding author

Correspondence to Tomasz Łukasz Żynda .

Editor information

Editors and Affiliations

  1. Departamento de Física, CINVESTAV, Ciudad de México, Mexico

    Piotr Kielanowski

  2. Faculty of Mathematics, University of Białystok, Białystok, Poland

    Alina Dobrogowska

  3. Departments of Mathematics, Physics, Learning & Teaching, Rutgers University, New Brunswick, NJ, USA

    Gerald A. Goldin

  4. Faculty of Mathematics, University of Białystok, Białystok, Poland

    Tomasz Goliński

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Cite this paper

Żynda, T.Ł., Pasternak-Winiarski, Z. (2023). Comparison of Two Topologies on Weighted Szegő Space. In: Kielanowski, P., Dobrogowska, A., Goldin, G.A., Goliński, T. (eds) Geometric Methods in Physics XXXIX. WGMP 2022. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-031-30284-8_25

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