Commutator of fractional integral with Lipschitz functions associated with Schrödinger operator on local generalized Morrey spaces

GULIYEV, VAGIF; AKBULUT, ALİ

doi:10.1186/s13661-018-1002-2

Commutator of fractional integral with Lipschitz functions associated with Schrödinger operator on local generalized Morrey spaces

Yazarlar (2)

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	Boundary Value Problems (Q4)
Dergi ISSN	1687-2762
Dergi Tarandığı Indeksler	SCI
Makale Dili	Türkçe	Basım Tarihi	05-2018
Cilt / Sayı / Sayfa	2018 / 1 / –	DOI	10.1186/s13661-018-1002-2
Makale Linki	http://dx.doi.org/10.1186/s13661-018-1002-2

Özet

Let L= − Δ + V be a Schrödinger operator on Rⁿ, where n≥ 3 and the nonnegative potential V belongs to the reverse Hölder class RHq1 for some q1> n/ 2. Let b belong to a new Campanato space and IβL be the fractional integral operator associated with L. In this paper, we study the boundedness of the commutators [b,IβL] with b on local generalized Morrey spaces LMp,φα,V,{x0}, generalized Morrey spaces Mp,φα,V and vanishing generalized Morrey spaces VMp,φα,V associated with Schrödinger operator, respectively. When b belongs to with θ> 0 , 0 < ν< 1 and (φ1, φ2) satisfies some conditions, we show that the commutator operator [b,IβL] are bounded from LMp,V,{x0} to LMq,V,{x0}, from Mp,V to Mq,V and from VMp,V to VMq,V, 1 / p− 1 / q= (β+ ν) / n.

Anahtar Kelimeler

Commutator | Fractional integral | Lipschitz function | Local generalized Morrey space | Schrödinger operator

BM Sürdürülebilir Kalkınma Amaçları

Atıf Sayıları
WoS	5
SCOPUS	7

Commutator of fractional integral with Lipschitz functions associated with Schrödinger operator on local generalized Morrey spaces

Commutator of fractional integral with Lipschitz functions associated with Schrödinger operator on local generalized Morrey spaces

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