Far East Journal of Mathematical Sciences (FJMS)

The Far East Journal of Mathematical Sciences (FJMS) publishes original research papers and survey articles in pure and applied mathematics, statistics, mathematical physics, and other related fields. It welcomes application-oriented work as well.

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FEJÉR-RIESZ TYPE INEQUALITIES FOR WEIGHTED BERGMAN SPACES

Authors

  • Kazuhiro Kasuga

Keywords:

Fej\'{e}r-Riesz type inequality, Bergman space

DOI:

https://doi.org/10.17654/0972087125014

Abstract

In this paper, we obtain Fejér-Riesz type inequalities for the weighted Bergman space $A_\alpha^p(\mathbb{D})$ on the unit disk $\mathbb{D}$ of the complex plane $(0<p<\infty,-1<\alpha<\infty)$.

Received: February 8, 2025
Accepted: March 22, 2025

References

V. V. Andreev, Fejér-Riesz type inequalities for Bergman spaces, Rend. Circ. Mat. Palermo (2) 61(3) (2012), 385-392.

P. L. Duren, Theory of Spaces, Academic Press, New York and London, 1970.

W. Rudin, Real and Complex Analysis, 3rd ed., McGraw-Hill, New York, 1987.

D. Stegenga, Multipliers of the Dirichlet space Ill, J. Math. 24 (1980), 113-139.

K. Zhu, Operator theory in function spaces, 2nd ed., American Mathematical Society, Providence, RI, 2007.

K. Zhu, Translating inequalities between Hardy and Bergman spaces, Amer. Math. Monthly 111(6) (2004), 520-525.

Published

2025-05-02

Issue

Section

Articles

How to Cite

FEJÉR-RIESZ TYPE INEQUALITIES FOR WEIGHTED BERGMAN SPACES. (2025). Far East Journal of Mathematical Sciences (FJMS), 142(2), 237-242. https://doi.org/10.17654/0972087125014

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