The Fractional Maximal Operator and Marcinkiewicz Integrals Associated with Schrödinger Operators on Morrey Spaces with Variable Exponent

The Fractional Maximal Operator and Marcinkiewicz Integrals Associated with Schrödinger Operators on Morrey Spaces with Variable Exponent

Year:    2015

Analysis in Theory and Applications, Vol. 31 (2015), Iss. 1 : pp. 68–80

Abstract

In this paper, we prove the boundedness of the fractional maximal operator, Hardy-Littlewood maximal operator and marcinkiewicz integrals associated with Schrödinger operator on Morrey spaces with variable exponent.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/ata.2015.v31.n1.6

Analysis in Theory and Applications, Vol. 31 (2015), Iss. 1 : pp. 68–80

Published online:    2015-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    13

Keywords:    Fractional maximal operator Marcinkiewicz integrals Schrödinger variable exponent Morrey space.

  1. GENERALIZED LOCAL MORREY SPACES AND MULTILINEAR COMMUTATORS GENERATED BY MARCINKIEWICZ INTEGRALS WITH ROUGH KERNEL ASSOCIATED WITH SCHRÖDINGER PERATORS AND LOCAL CAMPANATO FUNCTIONS

    Journal of Applied Analysis & Computation, Vol. 8 (2018), Iss. 5 P.1369

    https://doi.org/10.11948/2018.1369 [Citations: 0]