$L\log L$ results for the maximal operator in variable $L^p$ spaces
نویسندگان
چکیده
منابع مشابه
On Some Questions Related to the Maximal Operator on Variable L Spaces
Let P(Rn) be the class of all exponents p for which the HardyLittlewood maximal operator M is bounded on Lp(·)(Rn). A recent result by T. Kopaliani provides a characterization of P in terms of the Muckenhoupttype condition A under some restrictions on the behavior of p at infinity. We give a different proof of a slightly extended version of this result. Then we characterize a weak type ( p(·), ...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2008
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-08-04608-4