✦ LIBER ✦

Weighted Norm Inequalities for Some Singular Integral Operators

✍ Scribed by Takahiko Nakazi; Takanori Yamamoto

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 367 KB
Volume: 148
Category: Article
ISSN: 0022-1236
DOI: 10.1006/jfan.1997.3100

No coin nor oath required. For personal study only.

✦ Synopsis

If r is a nonzero constant, then HS r is just a well-known class of weights due to H. Helson and G. Szego (Ann. Mat. Pura Appl. 51 (1960), 107 138). Moreover we study the Koosis-type problem of two weights of S :, ; and get very simple necessary and sufficient conditions for such weights.

1997 Academic Press

1. Introduction

Let m denote the normalized Lebesgue measure on the unit circle T. Let A be the disc algebra, that is, A is the algebra of all continuous functions on T whose negative Fourier coefficients are zero. For 0< p< , the Hardy space H p is the closure of A in L p =L p (m), and H is the weak*closure of A in L =L (m). A function Q in H is an inner function if article no. FU973100

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