Commutator of fractional integral with Lipschitz functions related to Schrödinger operator on local generalized mixed Morrey spaces

Çelik, Süleyman; GULIYEV, VAGIF; AKBULUT, ALİ

doi:10.1515/math-2024-0082

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 Kırşehir Ahi Evran Üniversitesi, Türkiye

Prof. Dr. Ali AKBULUT Kırşehir Ahi Evran Üniversitesi, Türkiye

Makale Türü	Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
Dergi Adı	Open Mathematics (Q2)
Dergi ISSN	2391-5455 Wos Dergi Scopus Dergi
Dergi Tarandığı Indeksler	SCI-Expanded
Makale Dili	İngilizce	Basım Tarihi	10-2024
Cilt / Sayı / Sayfa	22 / 1 / 1–12	DOI	10.1515/math-2024-0082
Makale Linki	https://doi.org/10.1515/math-2024-0082

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 Λ^θν(ρ) and that the fractional integral operator associated with L is [Formula presented]. We study the boundedness of the commutators [Formula presented] with b ∈ Λ^θν(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 Λ^θν(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

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

Dergi Adı	Open Mathematics
Yayıncı	Walter de Gruyter GmbH
Açık Erişim	Evet
ISSN	2391-5455
E-ISSN	2391-5455
CiteScore	2,2
SJR	0,397
SNIP	0,707

Commutator of fractional integral with Lipschitz functions related to Schrödinger operator on local generalized mixed Morrey spaces

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