FRACTIONAL INTEGRAL ASSOCIATED WITH SCHRODINGER OPERATOR ON VANISHING GENERALIZED MORREY SPACES
Yazarlar (3)
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)
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| Dergi Adı | Open Mathematics (Q2) | ||
| Dergi ISSN | 2391-5455 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2018 |
| Cilt / Sayı / Sayfa | 22 / 1 / 17–12 | DOI | 10.1515/math-2024-0082 |
| Makale Linki | https://www.degruyter.com/document/doi/10.1515/math-2024-0082/html?srsltid=AfmBOorhKQjqj7267Cq0_QmbXtaE7L0W0ApTVNg6UavhRiBFMVeMBVt3 | ||
| 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 |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| SCOPUS | 3 |