Schur Test for the Hardy Operator


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Authors

  • Evgenii Ivanovich Berezhnoi

Keywords:

Schur test, Hardy operator, extrapolation

Abstract

For monotonic functions necessary and sufficient conditions are investigated ensuring the equivalence of a function and of an integral containing that function. Factorization theorems (Schur tests) are proved for the classical Hardy operator and its adjoint in Lebesque spaces with monotonic weights.

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Published

2013-12-30

How to Cite

Berezhnoi, E. I. (2013). Schur Test for the Hardy Operator. Eurasian Mathematical Journal, 4(4), 17–29. Retrieved from https://emj.enu.kz/index.php/main/article/view/554

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