Foundation item: the National Natural Science Foundation of China (No. 10371080); the Key Program Foundation of Ministry of Education of China (No. 108136).
In this paper, we obtain the (H^1,L^n/(n-β) and (HKq1^n(1-1/q2),p,Kq2^n(1-1/q1),p) type estimates for the commutator of Marcinkiewicz integral with the kernel satisfying the logarithmic type Lipschitz condit...
This work was partially supported by the National Natural Science Foundation of China(Grant Nos.10571014,10371080);the Doctoral Programme Foundation of Institute of Higher Education of China(Grant No.20040027001)
In this paper,it was proved that the commutator H_(β,b)generated by an n-dimensional fractional Hardy operator and a locally integrable function b is bounded from L^(p1)(R^n)to L^(p2)(R^n)if and only if b is a CMO(R^...
Let μ be a Borel measure on R^d which may be non doubling. The only condition that μ must satisfy is μ(Q) ≤ col(Q)^n for any cube Q belong to R^d with sides parallel to the coordinate axes and for some fixed ...
Supported by the NNSF of China(10371080);Supported by the Educational Committee Foundation of Beijing(01KJ-101)
In this paper, the integral-type Stancu operators on a simplex is considered and its inverse theorem of approximation in Lp(1≤ p 〈+∞)has been obtained.