Mathematische Annalen

, Volume 320, Issue 2, pp 381–415

Sharp Lorentz space estimates for rough operators

  • Andreas Seeger
  • Terence Tao
Original article

DOI: 10.1007/PL00004479

Cite this article as:
Seeger, A. & Tao, T. Math Ann (2001) 320: 381. doi:10.1007/PL00004479

Abstract.

We demonstrate the \((H^1,L^{1,2})\) or \((L^p,L^{p,2})\) mapping properties of several rough operators. In all cases these estimates are sharp in the sense that the Lorentz exponent 2 cannot be replaced by any lower number.

Mathematics Subject Classification (2000): 42B20

Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Andreas Seeger
    • 1
  • Terence Tao
    • 2
  1. 1.University of Wisconsin, Madison, WI 53706-1388, (e-mail: seeger@math.wisc.edu) US
  2. 2.University of California, Los Angeles, CA 90095-1555, USA US
  3. 3.School of Mathematics, University of New South Wales, Sydney NSW 2052, Australia (e-mail: tao@math.ucla.edu) AU