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math.FA1994
A Note on UMD Spaces and Transference in Vector-valued Function Spaces
N. Asmar, B. Kelly, Stephen J. Montgomery-Smith
We introduce the notion of an ACF space, that is, a space for which a generalized version of M. Riesz's theorem for conjugate functions with values in the Banach space is bounded.…
math.FA1994
On a weak type (1,1) inequality for a maximal conjugate function
N. Asmar, Stephen J. Montgomery-Smith
In a celebrated paper, Burkholder, Gundy, and Silverstein used Brownian motion to derive a maximal function characterization of H^p spaces for 0 < p < infinity. In this paper, we s…