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Weak type estimates for maximal operators with a cylindric distance function

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Abstract

We establish sharp weak-type estimates for the maximal operators T λ * associated with cylindric Riesz means for functions on H p(ℝ3) when 4/5 <p<1 and λ=3/p−5/2, and when p=4/5 and λ>3/p−5/2.

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Authors and Affiliations

  1. Department of Mathematics, Chosun University, 501-759, Gwangju, Korea

    Sunggeum Hong

  2. Department of Mathematics and Statistics, McMaster University, 1280 Main Street West, Hamilton, Ontario, L8S 4K1, Canada

    Paul Taylor

  3. Department of Mathematics, Korea University, Seoul, 136-701, Korea

    Chan Woo Yang

Authors
  1. Sunggeum Hong
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  2. Paul Taylor
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  3. Chan Woo Yang
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Corresponding author

Correspondence to Chan Woo Yang.

Additional information

The first author was supported by the Korean Research Foundation Grant funded by the Korean Government (MOEHRD) No. R04-2002-000-20028-0. The third author was supported by a Korea University Grant.

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Hong, S., Taylor, P. & Yang, C. Weak type estimates for maximal operators with a cylindric distance function. Math. Z. 253, 1–24 (2006). https://doi.org/10.1007/s00209-005-0871-0

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  • DOI: https://doi.org/10.1007/s00209-005-0871-0

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