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Approximate Factorization in Generalized Hardy Spaces

✍ Scribed by Bebe Prunaru

Publisher
SP Birkhäuser Verlag Basel
Year
2008
Tongue
English
Weight
305 KB
Volume
61
Category
Article
ISSN
0378-620X

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We show that if 0p -ϱ then the operator Gf s H f z dr 1 y z ⌫Ž . p p Ž < <. maps the Hardy space H to L d if and only if is a Carleson measure. Ž . Here ⌫ is the usual nontangential approach region with vertex on the unit and d is arclength measure on the circle. We also show that if 0p F 1, ␤ ) 0