On oscillating kernels in the Besov space |
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| Authors: | Dashan Fan Dachun Yang |
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| Institution: | (1) Department of Mathematical Sciences, University of Wisconsin-Milwaukee, 53201 Milwaukee, Wisconsin, USA;(2) Department of Mathematics, Beijing Normal University, 100875 Beijing, The People's Republic of China |
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| Abstract: | In this paper we consider a convolution operator Tf=p.v. Ω * f with Ω(x)=K(x)×eiλh(x), λ>0, where K(x) is a weak Calderón-Zygmund kernel and h(x) is a real-valued differentiable function. We give a boundedness
criterion for such an operator to map the Besov space B
1
0.1
(Rn) into itself.
This research was partially supported by NNSF and NEC in P. R. China. |
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| Keywords: | |
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