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arxiv: 1702.06573 · v2 · pith:AIPE5XXVnew · submitted 2017-02-21 · 🧮 math.PR · math.FA

On square functions and Fourier multipliers for nonlocal operators

classification 🧮 math.PR math.FA
keywords multipliersproofcitedirectevy-fourierextendformulafourier
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Using It\^o's formula for processes with jumps, we give a simple direct proof of the Hardy-Stein identity proved in \cite{BBL}. We extend the proof given in that paper to non-symmetric L\'evy-Fourier multipliers.

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