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April 2007 Hardy type inequalities with exponential weights for a class of convolution operators
Marius Măntoiu, Radu Purice
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Ark. Mat. 45(1): 83-103 (April 2007). DOI: 10.1007/s11512-006-0035-4

Abstract

In this paper we consider operators of the form H=λ(-i∇), with λ analytic in a strip and with some specific growth conditions at infinity, and prove Hardy type estimates in L2(ℝn) with exponential weights. In fact we extend our previous results [19] from bounded analytic functions on a strip to analytic functions with polynomial growth in that strip.

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Marius Măntoiu. Radu Purice. "Hardy type inequalities with exponential weights for a class of convolution operators." Ark. Mat. 45 (1) 83 - 103, April 2007. https://doi.org/10.1007/s11512-006-0035-4

Information

Received: 28 November 2005; Published: April 2007
First available in Project Euclid: 31 January 2017

zbMATH: 1143.47024
MathSciNet: MR2312955
Digital Object Identifier: 10.1007/s11512-006-0035-4

Rights: 2007 © Institut Mittag-Leffler

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Vol.45 • No. 1 • April 2007
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