DIMENSION FREE BOUNDEDNESS OF RIESZ TRANSFORMS FOR THE GRUSHIN OPERATOR

作者：Sanjay P K^*; Thangavelu S

来源：PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2014, 142(11): 3839-3851.

DOI：10.1090/S0002-9939-2014-12143-5

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 %26lt; p %26lt; infinity, and their norms are independent of dimension n.

• 出版日期2014-11