Fractional maximal operator in the local Morrey-Lorentz spaces and some applications

被引：2

作者：

Guliyev, V. S. ^{[1
,2
]}

Aykol, C. ^{[3
]}

Kucukaslan, A. ^{[4
]}

Serbetci, A. ^{[3
]}

机构：

[1] Baku State Univ, Inst Appl Math, Baku, Azerbaijan

[2] Inst Math & Mech, Baku, Azerbaijan

[3] Ankara Univ, Dept Math, Ankara, Turkiye

[4] Ankara Yildirim Beyazit Univ, Dept Aerosp Engn, Ankara, Turkiye

来源：

AFRIKA MATEMATIKA | 2024年 / 35卷 / 01期

关键词：

Local Morrey-Lorentz spaces; Fractional maximal operator; Schrodinger operator; SUFFICIENT CONDITIONS; SCHRODINGER-OPERATORS; BOUNDEDNESS; INEQUALITY;

D O I：

10.1007/s13370-023-01145-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this study, we obtain the necessary and sufficient conditions for the boundedness of the fractional maximal operator M(alpha)in the local Morrey-Lorentz spaces M-p,q; lambda(loc) (R-n). We use sharp rearrangement inequalities while proving our result. We apply this result to the Schrodinger operator -Delta + V on R-n, where the nonnegative potential V belongs to the reverse Holder class B-infinity(R-n). The local Morrey-Lorentz MMp,q; lambda loc (R-n)-> M-q,s; lambda(loc)(Rn) estimates for the Schrodinger type operators V-gamma(-Delta + V)(-beta) and V-gamma del (-Delta + V)(-beta) are obtained.

引用

页数：11

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