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A generalized Hankel transform on Lν,r–spaces

✍ Scribed by Hans–Jürgen Glaeske; Anatoly A. Kilbas


Publisher
John Wiley and Sons
Year
2003
Tongue
English
Weight
190 KB
Volume
258
Category
Article
ISSN
0025-584X

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✦ Synopsis


Abstract

An integral transform with a kernel generalizing the Bessel function of the first kind is investigated in weighted L~p~–spaces. Mapping properties, such as the boundedness, the representation and the range of the transform, are given and an inversion formula is proved. (© 2003 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)


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✍ Georg Schneider 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 97 KB 👁 1 views

## Abstract In this paper we investigate Hankel operators with anti‐holomorphic __L__^2^‐symbols on generalized Fock spaces __A__~__m__~^2^ in one complex dimension. The investigation of the mentioned operators was started in [4] and [3]. Here, we show that a Hankel operator with anti‐holomorphic