Circular average relative to fractal measures
نویسندگان
چکیده
We prove new $L^p$- $L^q$ estimates for averages over dilates of the circle with respect to $\alpha$-dimensional fractal measure, which unify different types maximal circular average. Our results are consequences smoothing wave operator relative measures. also discuss similar concerning spherical averages.
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ژورنال
عنوان ژورنال: Communications on Pure and Applied Analysis
سال: 2022
ISSN: ['1534-0392', '1553-5258']
DOI: https://doi.org/10.3934/cpaa.2022100