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arXiv · 2505.12760

Hypercontractive inequalities and Nikol'ski\u{\i}-type inequalities on weighted Bergman spaces

Zipeng Wang·Kenan Zhang
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Abstract

In this note, we obtianed hypercontractive inequalities between different weighted Bergman spaces. In addition, we establish Nikol'ski\u{\i}-type inequalities for weighted Bergman spaces with optimal constants.

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Zipeng Wang, Kenan Zhang. 2025-05-19. Hypercontractive inequalities and Nikol'ski\u{\i}-type inequalities on weighted Bergman spaces. https://arxiv.org/abs/2505.12760

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