Homogeneous fractional integral operators on weighted Lebesgue, Morrey and Campanato spaces

2025/10/01 by Jingliang Du, Hua Wang, Du, Jingliang +1
Mathematics · #42B20 #42B25 #42B35 #Advanced Harmonic Analysis Research #Classical Analysis and ODEs (math.CA) #Differential Equations and Boundary Problems #FOS: Mathematics #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.2510.00426

openalex publication_date 2025/10/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let 0<α

Citations

• Homogeneous fractional integral operators on Lebesgue and Morrey spaces, Hardy--Littlewood--Sobolev and Olsen-type inequalities
• Boundedness of fractional integral operators with rough kernels on weighted Morrey spaces
• On the solutions of quasi-linear elliptic partial differential equations

Related

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• Homogeneous fractional integral operators on Lebesgue and Morrey spaces, Hardy--Littlewood--Sobolev and Olsen-type inequalities
• Sharp weighted bounds for fractional integral operators in a space of homogeneous type
• Multilinear singular and fractional integral operators on weighted Morrey spaces
• The Boundedness of Fractional Integral Operators in Local and Global Mixed Morrey-type Spaces