LP REGULARITY OF AVERAGES OVER CURVES AND BOUNDS FOR ASSOCIATED MAXIMAL OPERATORS By MALABIKA PRAMANIK and ANDREAS SEEGER
نویسندگان
چکیده
We prove that for a finite type curve in R3 the maximal operator generated by dilations is bounded on Lp for sufficiently large p. We also show the endpoint Lp → L 1/p regularity result for the averaging operators for large p. The proofs make use of a deep result of Thomas Wolff about decompositions of cone multipliers.
منابع مشابه
L Regularity of Averages over Curves and Bounds for Associated Maximal Operators
We prove that for a finite type curve in R the maximal operator generated by dilations is bounded on Lp for sufficiently large p. We also show the endpoint Lp → L 1/p regularity result for the averaging operators for large p. The proofs make use of a deep result of Thomas Wolff about decompositions of cone multipliers.
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تاریخ انتشار 2006