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Weak type estimates for maximal operators with a cylindric distance function |
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| Authors: | Sunggeum Hong Paul Taylor Chan Woo Yang |
| Institution: | (1) Department of Mathematics, Chosun University, 501-759 Gwangju, Korea;(2) Department of Mathematics and Statistics, McMaster University, 1280 Main Street West, Hamilton, Ontario, L8S 4K1, Canada;(3) Department of Mathematics, Korea University, Seoul, 136-701, Korea |
| Abstract: | We establish sharp weak-type estimates for the maximal operators Tλ* associated with cylindric Riesz means for functions on Hp(ℝ3) when 4/5 <p<1 and λ=3/p−5/2, and when p=4/5 and λ>3/p−5/2. 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. |
| Keywords: | Cylindric distance Bochner-Riesz mean Multipliers Weak type estimates |
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