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A weighted bilinear gradient inequality

Published online by Cambridge University Press:  24 July 2014

Pedro Ortega Salvador
Pedro Ortega Salvador*
Affiliation:
Análisis Matemático, Facultad de Ciencias, Universidad de Málaga, 29071 Málaga, Spain, [email protected]
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Abstract

We characterize the weights w0, w1, w2 such that the weighted bilinear gradient inequality

holds for all functions , with a positive constant K independent of f1 and f2, for all possible values of q, p1 and p2 with 1 < q, p1, p2 < ∞.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 144 , Issue 4 , August 2014 , pp. 819 - 829
Copyright
Copyright © Royal Society of Edinburgh 2014 

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