Vol. 128, No. 2, 1987

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On McConnell’s inequality for functionals of subharmonic functions

Akihito Uchiyama

Vol. 128 (1987), No. 2, 367–377
Abstract

Recently, McConnell obtained an Lp inequality relating the nontangential maximal function of a nonnegative subharmonic function u and an integral expression involving the Laplacian of u. His result is imposing a restriction on the range of p. In this paper, we show that his inequality holds for all p (0,+).

Mathematical Subject Classification 2000
Primary: 31B05
Milestones
Received: 14 March 1986
Published: 1 June 1987
Authors
Akihito Uchiyama