One and two weight estimates for one-sided operators in L^p(⋅) spaces


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Authors

  • Vakhtang Kokilashvili
  • Alexander Meskhi
  • Muhammad Sarwar

Keywords:

one-sided maximal functions, one-sided potentials, one-weight inequality, two-weight inequality, trace inequality

Abstract

Various type weighted norm estimates for one-sided maximal functions and potentials are established in variable exponent Lebesgue spaces Lp(.). In particular, sufficient conditions (in some cases necessary and sufficient conditions) governing one and two weight inequalities for these operators are derived. Among other results generalizations of the Hardy-Littlewood, Fefferman-Stein and trace inequalities are given in Lp(.) spaces

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Published

2024-05-20

How to Cite

Kokilashvili, V., Meskhi, A., & Sarwar, M. (2024). One and two weight estimates for one-sided operators in L^p(⋅) spaces. Eurasian Mathematical Journal, 1(1). Retrieved from https://emj.enu.kz/index.php/main/article/view/30

Issue

Vol. 1 No. 1 (2010)

Section

Articles