This article is cited in 2 papers

On maximal operators associated with a family of singular surfaces

Salim E. Usmanov

Samarkand State University named after Sh. Rashidov, Samarkand, Uzbekistan

Abstract: Maximal operator associated with singular surfaces is considered in this paper. The boundedness of this operator in the space of summable functions is proved when singular surfaces are given by parametric equations. Boundedness index of the maximal operator is also found for these spaces.

Keywords: maximal operator, averaging operator, fractional power series, singular surface, boundedness indicator.

UDC: 517.9

Received: 10.09.2022
Received in revised form: 16.12.2022
Accepted: 20.01.2023

Language: English

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