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math.CV2026
Gabriel's and Frazer's problems for weighted Bergman spaces and their applications
Himadri Halder, Rohit Kumar
In this paper, we investigate Gabriel's and Frazer's problems for analytic and complex-valued harmonic weighted Bergman spaces. More precisely, we establish weighted integral inequ…
math.CV2026
Riesz Theorem and Riesz-Fejér inequality for weighted harmonic Bergman spaces with applications to Möbius invariant spaces
Himadri Halder, Rohit Kumar
The aim of this paper is twofold. First, we establish a Riesz conjugate theorem for weighted harmonic Bergman spaces. More precisely, we prove that if is a harmonic -qu…