In this note, we prove that the Toeplitz-type Operator b a generated by the generalized fractional integral, Calderon-Zygmund operator and VMO funtion is bounded from L^p,λ（R^n） to L^q,μ（R^n） . We also show that...In this note, we prove that the Toeplitz-type Operator b a generated by the generalized fractional integral, Calderon-Zygmund operator and VMO funtion is bounded from L^p,λ（R^n） to L^q,μ（R^n） . We also show that under some conditions Ob af ∈ VL^q,μ（BR） , the vanishing-Morrey space.展开更多
Let L be the infinitesimal generator of an analytic semigroup on L 2 (Rn)with Gaussian kernel bounds,and L-α/ 2 be the fractional integrals generated by L for 0< α<n.Let Tj,1 be the singular integral with nons...Let L be the infinitesimal generator of an analytic semigroup on L 2 (Rn)with Gaussian kernel bounds,and L-α/ 2 be the fractional integrals generated by L for 0< α<n.Let Tj,1 be the singular integral with nonsmooth kernel related to L,or Tj,1=I, Tj,2,Tj,4 be the linear operators,which are bounded on Lp(Rn)for 1<p<∞,and Tj,3=±I(j=1,2,···,m),where I is the identity operator.For b∈L 1 loc (Rn),denote the Toeplitz-type operator byΘαbfmj=1(Tj,1MbIαTj,2 + Tj,3MbIαTj,4),where Mb is a multiplication ope...展开更多
基金Supported by NNSF(10961015, 10871173)the NSF of Jiangxi province (2008GZS0051)+1 种基金the growth foundation of Jxnu(2714)the NSF of teaching derision of Jiangxi province (GJJ10397)
文摘In this note, we prove that the Toeplitz-type Operator b a generated by the generalized fractional integral, Calderon-Zygmund operator and VMO funtion is bounded from L^p,λ（R^n） to L^q,μ（R^n） . We also show that under some conditions Ob af ∈ VL^q,μ（BR） , the vanishing-Morrey space.
基金Supported by the NNSF of China(10571014)SEDF of China(20040027001)
文摘Let L be the infinitesimal generator of an analytic semigroup on L 2 (Rn)with Gaussian kernel bounds,and L-α/ 2 be the fractional integrals generated by L for 0< α<n.Let Tj,1 be the singular integral with nonsmooth kernel related to L,or Tj,1=I, Tj,2,Tj,4 be the linear operators,which are bounded on Lp(Rn)for 1<p<∞,and Tj,3=±I(j=1,2,···,m),where I is the identity operator.For b∈L 1 loc (Rn),denote the Toeplitz-type operator byΘαbfmj=1(Tj,1MbIαTj,2 + Tj,3MbIαTj,4),where Mb is a multiplication ope...
