On the representation of functions in weighted Hardy spaces in the disk

Authors

DOI:

https://doi.org/10.31652/3041-1955-2025-02-02-05

Keywords:

Hardy space, unit disk, analytic functions, single-point and two-point weight, Cauchy–Bunyakovsky inequality, analogue of the Cauchy formula.

Abstract

This article examines weighted Hardy spaces in the unit disk. Single-point and two-point exponential weights are considered. Results concerning representations in these spaces are obtained.

Author Biographies

  • Oksana Kosolovych, Drohobych Ivan Franko State Pedagogical University

    Oksana Kosolovych, Master’s Student, Department of Mathematics and Economics, Drohobych Ivan Franko State Pedagogical University, 24 Ivan Franko Street, Drohobych 82100, Ukraine

  • Mariia Kuchma, Lviv Polytechnic National University

    Mariia Kuchma, Candidate of Science in Physіcs and Mathematics, Associate Professor, Department of Higher Mathematics, Lviv Polytechnic National University, 12 Stepan Bandera Street, Lviv 79000, Ukraine

  • Volodymyr Dilnyi, Lviv Polytechnic National University

    Volodymyr Dilnyi, Doctor of Science in Physіcs and Mathematics, Professor, Department of Higher Mathematics, Lviv Polytechnic National University, 12 Stepan Bandera Street, Lviv 79000, Ukraine

References

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Published

2026-05-06

Issue

Vol. 2 No. 2 (2025)

Section

Actual problems of mathematics

License

Copyright (c) 2025 Оксана Косолович, Марія Кучма, Володимир Дільний

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

On the representation of functions in weighted Hardy spaces in the disk. (2026). Mathematics, Informatics, Physics: Science and Education, 2(2), 216–224. https://doi.org/10.31652/3041-1955-2025-02-02-05