A Weighted Inequality for the Maximal Bochner-riesz Operator on R2 By
نویسنده
چکیده
For/e ¿"(R2), let (7£/)"(£) = (1 |£|2«2)î/(£). It is a well-known theorem of Carleson and Sjölin that T" defines a bounded operator on Z,4 if a > 0. In this paper we obtain an explicit weighted inequality of the form / sup \T%f(x)\2w(x)dxti( \f\2Paw(x)dx, 0 0. This strengthens the above theorem of Carleson and Sjölin. The method gives information on the maximal operator associated to general suitably smooth radial Fourier multipliers of R2.
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