In this paper,we obtain that b∈ BMO（Rn） if and only if the commutator[b,Iα]is bounded from the Morrey spaces Lp1,λ1Rn×Lp2,λ2Rnto Lq,λ（Rn）,for some appropriate indices p,q,λ,μ.Also we show that b ∈ Lip...In this paper,we obtain that b∈ BMO（Rn） if and only if the commutator[b,Iα]is bounded from the Morrey spaces Lp1,λ1Rn×Lp2,λ2Rnto Lq,λ（Rn）,for some appropriate indices p,q,λ,μ.Also we show that b ∈ Lip_β（R^n） if and only if the commutator[b,I_α]is bounded from the Morrey spaces Lp1,λ1）Rn×Lp2,λ（Rnto Lq,λRn,for some appropriate indices p,q,λ,μ.展开更多
For denote the Lebesgue space for and the Hardy space for p <1 In this paper, the authors study mapping properties of bilinear operators given by finite sums of the products of the standard fractional integrals or ...For denote the Lebesgue space for and the Hardy space for p <1 In this paper, the authors study mapping properties of bilinear operators given by finite sums of the products of the standard fractional integrals or the standard fractional integral with the Calderon-Zygmund operator. The authors prove that such mapping properties hold if and only if these operators satisfy certain cancellation conditions.展开更多
基金Supported by the National Natural Science Foundation of China(Grant Nos.1126105511661075)
文摘In this paper,we obtain that b∈ BMO（Rn） if and only if the commutator[b,Iα]is bounded from the Morrey spaces Lp1,λ1Rn×Lp2,λ2Rnto Lq,λ（Rn）,for some appropriate indices p,q,λ,μ.Also we show that b ∈ Lip_β（R^n） if and only if the commutator[b,I_α]is bounded from the Morrey spaces Lp1,λ1）Rn×Lp2,λ（Rnto Lq,λRn,for some appropriate indices p,q,λ,μ.
基金Supported by the NNSF and the National Education Comittee of China
文摘For denote the Lebesgue space for and the Hardy space for p <1 In this paper, the authors study mapping properties of bilinear operators given by finite sums of the products of the standard fractional integrals or the standard fractional integral with the Calderon-Zygmund operator. The authors prove that such mapping properties hold if and only if these operators satisfy certain cancellation conditions.
