Some Weighted Inequalities for the Kakeya Maximal Operator on Functions of Product Type

J. Math. Sci. Univ. Tokyo
Vol. 6 (1999), No. 2, Page 315--333.

Tanaka, Hitoshi
Some Weighted Inequalities for the Kakeya Maximal Operator on Functions of Product Type
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Abstract:
We shall prove some weighted inequalities for the Kakeya maximal operator restricting it to functions of product type. We shall also describe a detailed proof of a comparison theorem for two maximal operators of Kakeya type which is used in the proof.

Mathematics Subject Classification (1991): Primary 42B25
Mathematical Reviews Number: MR1706956

Received: 1998-06-09