✦ LIBER ✦

Two remarks on H1 and BMO

✍ Scribed by Lennart Carleson

Publisher: Elsevier Science
Year: 1976
Tongue: English
Weight: 351 KB
Volume: 22
Category: Article
ISSN: 0001-8708
DOI: 10.1016/0001-8708(76)90095-5

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✦ Synopsis

DEDICATED TO THE MEMORY OF NORMAN LEVINSON 1. The definition of W(P), g iven by Stein, uses n-dimensional analogs of conjugate functions. This generalization of the classical Hardy space is of course only one of several possible ones. It has however proved to be of intrinsic importance through its relation to maximal functions as shown by the following theorem. THEOREM 1. Let h(x) E Cl(P), and assume h(x) even and 1 h(x)j,

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