In the present article,we give an alternate and easier proof for the image characterization of L2(R2n) under the twisted Bargmann transform which was earlier studied by Krontz, Thangavelu and Xu. As a consequence, we study some properties of the twisted Bergman spaces for 0 < p ≤ ∞ and the Lp-boundedness of the twisted Bargmann transform, 1 ≤ p ≤ ∞. We also study Lp-boundedness of the twisted Bargmann projection Pt and the duality relations between the spaces Bpt(ℂ 2n), 1 < p < ∞. © 2021 Walter de Gruyter GmbH, Berlin/Boston

Venku Naidu .D

Department of Mathematics

S.R. Bais

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Journal	Forum Mathematicum
Publisher	De Gruyter Open Ltd
ISSN	09337741