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Hardy space estimates for the wave equation on compact Lie groups |
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| Authors: | Jiecheng Chen Lijing Sun |
| Institution: | a Department of Mathematics, Zhejiang University, Hangzhou, China b Department of Mathematics, University of Wisconsin-Milwaukee, Milwaukee, WI 53201, USA |
| Abstract: | Let −L be the Laplacian. In this paper, we prove that on a compact Lie group G of dimension n, the multiplier operator  , s∈(0,1], extends to a bounded operator on the Hardy space Hp(G), 0<p<∞, if and only if  . The result is an analogue of a well-known theorem in Euclidean space. |
| Keywords: | Oscillating multiplier _method=retrieve& _eid=1-s2 0-S0022123610003587& _mathId=si7 gif& _pii=S0022123610003587& _issn=00221236& _acct=C000069490& _version=1& _userid=6211566& md5=c2eac7e27fe07d41856191a63b8265ee')" style="cursor:pointer Hp spaces" target="_blank">" alt="Click to view the MathML source" title="Click to view the MathML source">Hp spaces Compact Lie groups Fourier series Wave equation |
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