Generalized local morrey spaces and multilinear commutators generated by marcinkiewicz integrals with rough kernel associated with SchrÖdinger operators and local campanato functions

GÜRBÜZ F.

Journal of Applied Analysis and Computation, vol.8, no.5, pp.1369-1384, 2018 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 8 Issue: 5
  • Publication Date: 2018
  • Doi Number: 10.11948/2018.1369
  • Journal Name: Journal of Applied Analysis and Computation
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1369-1384
  • Keywords: Generalized local Morrey space, Marcinkiewicz operator, Multilinear commutator, Rough kernel, Schrödinger operator
  • Hakkari University Affiliated: Yes

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.