DIMENSION FREE BOUNDEDNESS OF RIESZ TRANSFORMS FOR THE GRUSHIN OPERATOR
Data(s) |
2014
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Resumo |
Let G = -Delta(xi) - vertical bar xi vertical bar(2) partial derivative(2)/partial derivative eta(2) be the Grushin operator on R-n x R. We prove that the Riesz transforms associated to this operator are bounded on L-p(Rn+1), 1 < p < infinity, and their norms are independent of dimension n. |
Formato |
application/pdf |
Identificador |
http://eprints.iisc.ernet.in/50218/1/pro_ame_mat_soc_142-11_3839_2014.pdf Sanjay, PK and Thangavelu, S (2014) DIMENSION FREE BOUNDEDNESS OF RIESZ TRANSFORMS FOR THE GRUSHIN OPERATOR. In: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 142 (11). pp. 3839-3851. |
Publicador |
AMER MATHEMATICAL SOC |
Relação |
http://arxiv.org/abs/1211.4329 http://eprints.iisc.ernet.in/50218/ |
Palavras-Chave | #Mathematics |
Tipo |
Journal Article PeerReviewed |