$L^p$--bounds for the Beurling--Ahlfors transform

Rodrigo Bañuelos; Prabhu Janakiraman

doi:10.1090/s0002-9947-08-04537-6

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$L^p$--bounds for the Beurling--Ahlfors transform

Rodrigo Bañuelos Prabhu Janakiraman

Year: 2008 Journal: Transactions of the American Mathematical Society Vol: 360 (07)Pages: 3603-3613 Publisher: American Mathematical Society

DOI: 10.1090/s0002-9947-08-04537-6

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Abstract

Let $B$ denote the Beurling–Ahlfors transform defined on $L^p(\mathbb {C})$, $1

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Mathematics Conjecture Combinatorics Norm (philosophy)

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Advanced Harmonic Analysis Research

Physical Sciences → Mathematics → Applied Mathematics

Mathematical Analysis and Transform Methods

Physical Sciences → Mathematics → Applied Mathematics

Holomorphic and Operator Theory

Physical Sciences → Mathematics → Applied Mathematics

$L^p$--bounds for the Beurling--Ahlfors transform

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