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arXiv · 1811.06702

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

Ferit Grbz·Shenghu Ding·Huili Han·Pinhong Long
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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_{\Pi }^{p\left( \cdot \right) ,w\left( \cdot \right) }\left( E\right) $ with variable exponent $p(\cdot )$ and bounded set $E$

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Ferit Grbz, Shenghu Ding, Huili Han, Pinhong Long. 2018-11-16. A characterization of rough fractional type integral operators and Campanato estimates for their commutators on the variable exponent vanishing generalized Morrey spaces. https://arxiv.org/abs/1811.06702

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