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Singular integral operators in some variable exponent Lebesgue spaces

  • Vakhtang Kokilashvili , Mieczysław Mastyło and Alexander Meskhi EMAIL logo
Published/Copyright: July 16, 2020
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Abstract

The paper deals with the exploration of those subclasses of the variable exponent Lebesgue space Lp() with minp()=1, which are invariant with respect to Cauchy singular integral operators.

MSC 2010: 26A33; 42B20; 45P05

Award Identifier / Grant number: DI 18-118

Funding statement: The first and third authors were supported by the Shota Rustaveli National Science Foundation of Georgia, Grant No. DI 18-118. The second author was supported by the National Science Centre, Poland, Grant No. 2015/17/B/ST1/00064.

References

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Received: 2019-01-05
Accepted: 2019-03-07
Published Online: 2020-07-16
Published in Print: 2021-06-01

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