DIMENSION FREE BOUNDEDNESS OF RIESZ TRANSFORMS FOR THE GRUSHIN OPERATOR


Autoria(s): Sanjay, PK; Thangavelu, S
Data(s)

2014

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