Problems on averages and lacunary maximal functions
نویسندگان
چکیده
منابع مشابه
Problems on Averages and Lacunary Maximal Functions
We prove three results concerning convolution operators and lacunary maximal functions associated to dilates of measures. First we obtain an H to L bound for lacunary maximal operators under a dimensional assumption on the underlying measure and an assumption on an Lp regularity bound for some p > 1. Secondly, we obtain a necessary and sufficient condition for L boundedness of lacunary maximal ...
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ژورنال
عنوان ژورنال: Banach Center Publications
سال: 2011
ISSN: 0137-6934,1730-6299
DOI: 10.4064/bc95-0-11