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Characterization of the critical Sobolev space on the optimal singularity at the origin |
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| Authors: | Sei Nagayasu |
| Institution: | a Department of Mathematics, Hokkaido University, Sapporo 060-0810, Japan b Department of Mathematics, Taida Institute for Mathematical Sciences, National Taiwan University, Taipei 106, Taiwan |
| Abstract: | In the present paper, we investigate the optimal singularity at the origin for the functions belonging to the critical Sobolev space  , 1<p<∞. With this purpose, we shall show the weighted Gagliardo-Nirenberg type inequality:(GN) |
| Keywords: | Sobolev embedding theorem Gagliardo-Nirenberg type inequality Trudinger type inequality Caffarelli-Kohn-Nirenberg inequality |
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