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, cilt.8, sa.5, ss.1369-1384, 2018 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 8 Sayı: 5
  • Basım Tarihi: 2018
  • Doi Numarası: 10.11948/2018.1369
  • Dergi Adı: Journal of Applied Analysis and Computation
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1369-1384
  • Anahtar Kelimeler: Generalized local Morrey space, Marcinkiewicz operator, Multilinear commutator, Rough kernel, Schrödinger operator
  • Hakkari Üniversitesi Adresli: Evet

Özet

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.