A characterization of rough fractional type integral operators and Campanato estimates for their commutators on the variable exponent vanishing generalized Morrey spaces

2018/11/16 by Ferit Grbz, Shenghu Ding, Grbz, Ferit +5
Mathematics · #42B20 #42B35 #46E30 #Advanced Harmonic Analysis Research #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Functional Analysis (math.FA) #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1811.06702

openalex publication_date 2018/11/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, applying some properties of variable exponent analysis, we first dwell on Adams and Spanne type estimates for a class of fractional type integral operators of variable orders, respectively and then, obtain variable exponent generalized Campanato estimates for the corresponding commutators on the vanishing generalized Morrey spaces VL_Π^{p( ⋅ ) ,w( ⋅ )} ( E) with variable exponent p(⋅ ) and bounded set E

Citations

• On the solutions of quasi-linear elliptic partial differential equations

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