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- W2004520733 abstract "The dyadic paraproduct is bounded in weighted Lebesgue spaces $L_p(w)$ if and only if the weight $w$ belongs to the Muckenhoupt class $A_p^d$. However, the sharp bounds on the norm of the dyadic paraproduct are not known even in the simplest $L_2(w)$ case. In this paper we prove the linear bound on the norm of the dyadic paraproduct in the weighted Lebesgue space $L_2(w)$ using Bellman function techniques and extrapolate this result to the $L_p(w)$ case." @default.
- W2004520733 created "2016-06-24" @default.
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- W2004520733 date "2008-08-01" @default.
- W2004520733 modified "2023-10-17" @default.
- W2004520733 title "Linear bound for the dyadic paraproduct on weighted Lebesgue space <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.gif overflow=scroll><mml:msub><mml:mi>L</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:mo stretchy=false>(</mml:mo><mml:mi>w</mml:mi><mml:mo stretchy=false>)</mml:mo></mml:math>" @default.
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- W2004520733 doi "https://doi.org/10.1016/j.jfa.2008.04.025" @default.
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