GENERALIZED LOCAL MORREY SPACES AND MULTILINEAR COMMUTATORS GENERATED BY MARCINKIEWICZ INTEGRALS WITH ROUGH KERNEL ASSOCIATED WITH SCHR&#214;DINGER PERATORS AND LOCAL CAMPANATO FUNCTIONS

Ferit Gürbüz

doi:10.11948/2018.1369

2018 Volume 8 Issue 5

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Ferit Gürbüz. GENERALIZED LOCAL MORREY SPACES AND MULTILINEAR COMMUTATORS GENERATED BY MARCINKIEWICZ INTEGRALS WITH ROUGH KERNEL ASSOCIATED WITH SCHRÖDINGER PERATORS AND LOCAL CAMPANATO FUNCTIONS[J]. Journal of Applied Analysis & Computation, 2018, 8(5): 1369-1384. doi: 10.11948/2018.1369

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Ferit Gürbüz. GENERALIZED LOCAL MORREY SPACES AND MULTILINEAR COMMUTATORS GENERATED BY MARCINKIEWICZ INTEGRALS WITH ROUGH KERNEL ASSOCIATED WITH SCHRÖDINGER PERATORS AND LOCAL CAMPANATO FUNCTIONS[J]. Journal of Applied Analysis & Computation, 2018, 8(5): 1369-1384. doi: 10.11948/2018.1369

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

Ferit Gürbüz

Department of Mathematics Education, Hakkari University, Hakkari, Turkey

Abstract

Abstract

Let L=-∆ + V (x) be a Schrödinger operator, where ∆ is the Laplacian on Rⁿ, while nonnegative potential V (x) belongs to the reverse Hölder class. In this paper, we consider the behavior of multilinear commutators of Marcinkiewicz integrals with rough kernel associated with Schrödinger operators on generalized local Morrey spaces.
- Marcinkiewicz operator /
- rough kernel /
- Schrödinger operator /
- generalized local Morrey space /
- multilinear commutator
MSC: 42B20;42B35

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References

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