Variational Estimates for Paraproducts Yen Do

  title={Variational Estimates for Paraproducts Yen Do},
  • Published 2010
We generalize a family of variation norm estimates (Theorem 1.1) of Lépingle with endpoint estimates of Bourgain and Pisier-Xu to a family of variational estimates for paraproducts (Theorem 1.2), both in the discrete and the continuous setting. This expands on work of Friz and Victoir, our focus being on the continuous case and an expanded range of variation exponents. 

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Harmonic analysis: real-variable methods, orthogonality, and oscillatory integrals

  • E. Stein
  • With the assistance of Timothy S. Murphy…
  • 1993
Highly Influential
4 Excerpts

Pointwise ergodic theorems for arithmetic sets, IHÉS

  • J. Bourgain
  • 1989
Highly Influential
12 Excerpts

On interpolation of multilinear operators in: Function spaces and applications (Lund

  • S. Janson
  • Lecture Notes in Math.,
  • 1986
Highly Influential
10 Excerpts

The Burkholder-Davis-Gundy inequality for enhanced martingales. Séminaire de probabilités XLI, 421–438

  • P. Friz, N. Victoir
  • Lecture Notes in Math.,
  • 1934
Highly Influential
11 Excerpts

Differential equations driven by rough signals

  • T. Lyons
  • Rev. Mat. Iberoamericana
  • 1998
Highly Influential
3 Excerpts

L estimates for the biest

  • C. Muscalu, T. Tao, C. Thiele
  • II. The Fourier case, Math. Ann
  • 2004

Wierdl, Oscillation in ergodic theory, Ergod

  • R. L. Jones, R. Kaufman, M.J.M. Rosenblatt
  • Th. Dynam. Sys
  • 1998
1 Excerpt

Calderon-Zygmund and multilinear operators. Translated from the 1990 and 1991 French originals by David Salinger

  • Meyer, R. Coifman Wavelets
  • Cambridge Studies in Advanced Mathematics,
  • 1997
1 Excerpt

L p estimates for the biest . II . The Fourier case

  • T. Tao, C. Thiele
  • 1997

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