Paper Title:

Maximal Singular Operators On Variable Exponent Sequence Spaces and Their Corresponding Ergodic Version

Author(s):

Sri Sakti Swarup Anupindi and Michael A. Alphonse

Department of Mathematics, Birla Institute of Technology And Science- Pilani,
Hyderabad Campus, Jawahar Nagar, Kapra Mandal,
District.-Medchal-500 078 Telangana,
India.
E-mail: p20180442@hyderabad.bits-pilani.ac.in alphonse@hyderabad.bits-pilani.ac.in
URL: https://www.bits-pilani.ac.in/hyderabad/a-michael-alphonse
https://www.bits-pilani.ac.in/research_scholars/sri-sakti-swarup-anupindi

Abstract:

In this paper, we prove strong and weak type inequalities of singular operators on weighted l_w^p(Z)$. Using these results, we prove strong type and weak type inequalities of the maximal singular operator of Calderon-Zygmund type on variable exponent sequence spaces l^p(·)(Z). Using the Calderon-Coifman-Weiss transference principle, we prove strong type, weak type inequalities of the maximal ergodic singular operator on L_w^p(X,B,μ) spaces, where (X,B,μ) is a probability space equipped with measure preserving transformation U.

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