A note on UMD spaces and transference in vector-valued function spaces
نویسندگان
چکیده
منابع مشابه
A Note on Umd Spaces and Transference in Vector-valued Function Spaces
Abstract. A Banach space X is called an HT space if the Hilbert transform is bounded from L(X) into L(X), where 1 < p < ∞. We introduce the notion of an ACF Banach space, that is, a Banach space X for which we have an abstract M. Riesz Theorem for conjugate functions in L(X), 1 < p < ∞. Berkson, Gillespie, and Muhly [5] showed that X ∈ HT =⇒ X ∈ ACF. In this note, we will show that X ∈ ACF =⇒ X...
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ژورنال
عنوان ژورنال: Proceedings of the Edinburgh Mathematical Society
سال: 1996
ISSN: 0013-0915,1464-3839
DOI: 10.1017/s0013091500023245