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On the Reproducing Formula of Calderon

Authors:	Sadahiro Saeki

Institution:	(1) Department of Mathematics, Kansas State University, 137 Cardwell Hall, Manhattan, Kansas 66506, USA

Abstract:	Let $1 < p < \infty, h \in L_p ({\Bbb R}),$ and $f \in L_{p^\prime} ({\Bbb R}).$ Under certain conditions on we shall prove that $\int_y^\infty (h_t \ast f)(x)\,dt/t$ converges nontangentially to at for $a.a.\, x_0.$

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