On L estimates for square roots of second order elliptic operators on R.
Pascal Auscher (2004)
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Pascal Auscher (2004)
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Oliver Dragicevic, Loukas Grafakos, María Cristina Pereyra, Stefanie Petermichl (2005)
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P. Auscher, Q. X. Yang (2009)
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Michael T. Lacey (2004)
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Carleson's Theorem from 1965 states that the partial Fourier sums of a square integrable function converge pointwise. We prove an equivalent statement on the real line, following the method developed by the author and C. Thiele. This theorem, and the proof presented, is at the center of an emerging theory which complements the statement and proof of Carleson's theorem. An outline of these variations is also given.
Xavier Tolsa (2004)
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Let m be a Radon measure on C without atoms. In this paper we prove that if the Cauchy transform is bounded in L(m), then all 1-dimensional Calderón-Zygmund operators associated to odd and sufficiently smooth kernels are also bounded in L(m).
Steve Hofmann, José María Martell (2003)
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Abdoul Ifra, Lofti Riahi (2005)
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Faruk Abi-Khuzam, Bassam Shayya (2006)
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A. G. O’Farrell, I. Short (2009)
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Sergio de Carvalho Bezerra, Samy Tindel (2007)
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In this note, we prove an asymptotic expansion and a central limit theorem for the multiple overlap R of the SK model, defined for given N, s ≥ 1 by R = NΣ σ ... σ . These results are obtained by a careful analysis of the terms appearing in the cavity derivation formula, as well as some graph induction procedures. Our method could hopefully be applied to other spin glasses models.
David Walsh (2006)
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