Hardy type inequalities with exponential weights for a class of convolution operators |
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Authors: | Marius M?ntoiu Radu Purice |
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Institution: | (1) “Simion Stoilow” Institute of Mathematics, Romanian Academy, P.O. Box 1-764, RO-014700 Bucharest, Romania |
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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 L
2(ℝ
n
) 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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Keywords: | |
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