Makale detayı · 2015
Generalized Fractional Integral Operators on Generalized Local Morrey Spaces
- Yıl
- 2015
- Tür
- article
Veri kaynağı ayrımı
- YÖKSİS YÖKSİS makale kaydı
- YÖKSİS dergi adı Journal of Function Spaces
- Katalog eşleşmesi (ISSN) Journal of Function Spaces
- OpenAlex OpenAlex zenginleştirmesi (özet, atıf, konular)
Özet
OpenAlex · lv
We study the continuity properties of the generalized fractional integral operator Iρ on the generalized local Morrey spaces LMp,φ{x0} and generalized Morrey spaces Mp,φ . We find conditions on the triple (φ1,φ2,ρ) which ensure the Spanne-type boundedness of Iρ from one generalized local Morrey space LMp,φ1{x0} to another LMq,φ2{x0} , 1<p<q<∞ , and from LM1,φ1{x0} to the weak space WLMq,φ2{x0} , 1<q<∞ . We also find conditions on the pair (φ,ρ) which ensure the Adams-type boundedness of Iρ from Mp,φ1/p to Mq,φ1/q for 1<p<q<∞ and from M1,φ to WMq,φ1/q for 1<q<∞ . In all cases the conditions for the boundedness of Iρ are given in terms of Zygmund-type integral inequalities on (φ1,φ2,ρ) and (φ,ρ) , which do not assume any assumption on monotonicity of φ1(x,r) , φ2(x,r) , and φ(x,r) in r .
Konular
Atıflar
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Yerel katalogda bu makaleye atıf yapan 11 yayın (OpenAlex referans eşleşmesi; tam dünya listesi değildir).
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- Generalized Fractional Integrals in the Vanishing Generalized Weighted Local and Global Morrey Spaces 2023
- Generalized fractional maximal operator on generalized local Morrey spaces 2020
- Two-type estimates for the boundedness of generalized Riesz potential operator in the generalized weighted local Morrey spaces 2021
- Maximal and Fractional maximal operators in the Lorentz-Morrey spaces and their applications to the Bochner-Riesz and Schrödinger-type operators 2022
- The characterization of the weighted modified Morrey spaces 2025
- An Extension of the Adams-type Theorem to the Vanishing Generalized Weighted Morrey Spaces 2022
- Generalized Riesz Potential Operator in the Modified Morrey Spaces 2022
- Two type Estimates for the Boundedness of Generalized Riesz Potential Operator in the Generalized Weighted Local Morrey Spaces 2021
- The Two-Type Estimates for The Boundedness of Generalized Fractional Maximal Operator on The Generalized Weighted Local Morrey Spaces 2020