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Akademisyenler > Vagıf GULIYEV > Yayın Detayı

Commutator of fractional integral with Lipschitz functions related to Schrödinger operator on local generalized mixed Morrey spaces    
Yazarlar (3)
Süleyman Çelik
Fırat Üniversitesi, Türkiye
Prof. Dr. Vagıf GULIYEV Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi, Türkiye
Prof. Dr. Ali AKBULUT Prof. Dr. Ali AKBULUT
Kırşehir Ahi Evran Üniversitesi, Türkiye
Devamını Göster
Özet
Let L = −∆ + V be the Schrödinger operator on [Formula presented], where V ≠ 0 is a non-negative function satisfying the reverse Hölder class RHq1 for some q1 > n∕2. ∆ is the Laplacian on [Formula presented]. Assume that b is a member of the Campanato space Λθν(ρ) and that the fractional integral operator associated with L is [Formula presented]. We study the boundedness of the commutators [Formula presented] with b ∈ Λθν(ρ) on local generalized mixed Morrey spaces. Generalized mixed Morrey spaces [Formula presented], vanishing generalized mixed Morrey spaces[Formula presented], and [Formula presented] are related to the Schrödinger operator, in that order. We demonstrate that the commutator operator [Formula presented] is satisfied when b belongs to Λθν(ρ) with θ > 0, 0 < ν < 1, and (φ1, φ2) satisfying certain requirements are bounded from [Formula presented] to [Formula presented]; from [Formula presented] to [Formula presented], and from [Formula presented] to [Formula presented].
Anahtar Kelimeler
commutator | fractional integral | Lipschitz function | local generalized mixed Morrey space | Schrödinger operator
Makale Türü Açık Erişim Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale
Dergi Adı Open Mathematics
Dergi ISSN 2391-5455 Wos Dergi Scopus Dergi
Dergi Tarandığı Indeksler SCI-Expanded
Dergi Grubu Q2
Makale Dili İngilizce
Basım Tarihi 10-2024
Cilt No 22
Sayı 1
Sayfalar 1 / 12
DOI Numarası 10.1515/math-2024-0082
Makale Linki https://doi.org/10.1515/math-2024-0082
BM Sürdürülebilir Kalkınma Amaçları
Atıf Sayıları
SCOPUS 3
Commutator of fractional integral with Lipschitz functions related to Schrödinger operator on local generalized mixed Morrey spaces

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