Order-sharp estimates for Hardy-type operators on the cones of functions with properties of monotonicity


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Authors

  • Mikhail Lvovich Goldman

Keywords:

Hardy type operator, cone of quasimonotone functions, criterion of the boundedness

Abstract

Two-sided estimates are established for two types of generalized Hardy operators on the cones of functions in weighted Lebesgue spaces with some properties of monotonicity. We prove the results announced in [7], and present some other equivalent forms for the criterion of boundedness. Some other equivalent descriptions, particular cases, and results in the case of degenerate measures will be given in our next paper.

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Published

2012-06-30

How to Cite

Goldman, M. L. (2012). Order-sharp estimates for Hardy-type operators on the cones of functions with properties of monotonicity. Eurasian Mathematical Journal, 3(2), 53–84. Retrieved from https://emj.enu.kz/index.php/main/article/view/792

Issue

Vol. 3 No. 2 (2012)

Section

Articles