JOURNAL ARTICLE
Sharp estimate of the Ahlfors-Beurling operator via averaging martingale transforms
Oliver DragičevićAlexander Volberg
Year: 2003 Journal: The Michigan Mathematical Journal Vol: 51 (2) Publisher: Institute of Mathematical Statistics
Abstract
d e r Vo l b e rgIt is well known that, for any such weight w, the martingale transforms are uniformly bounded on L 2 (w), that is, on the Hilbert space of measurable complex functions on R endowed with the scalar product f, g w := R f (x)g(x)w(x) dx.
Keywords:
Mathematics Martingale (probability theory) Statistics
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5
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0.82
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Citation History
Topics
Mathematical Analysis and Transform Methods
Physical Sciences → Mathematics → Applied Mathematics
Numerical methods in inverse problems
Physical Sciences → Mathematics → Mathematical Physics
Advanced Harmonic Analysis Research
Physical Sciences → Mathematics → Applied Mathematics
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