Alternative Boundedness Characteristics for the Hardy–Steklov Operator


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Authors

  • Elena Pavlovna Ushakova

Keywords:

Hardy–Steklov operator, weighted Lebesgue space, boundedness

Abstract

Using the notions of fairway functions we give the Tomaselli and Persson–Stepanov type forms of boundedness characterizations for the Hardy–Steklov operators in Lebesgue spaces. The results are alternatives to the Muckenhoupt and Mazya–Rosin type boundedness criteria.

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Published

2017-06-30

How to Cite

Ushakova, E. P. (2017). Alternative Boundedness Characteristics for the Hardy–Steklov Operator. Eurasian Mathematical Journal, 8(2), 74–96. Retrieved from https://emj.enu.kz/index.php/main/article/view/664

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Articles