In this paper, some weighted estimates for the multivariate Hausdorff operators are obtained. It is proved that the multivariate Hausdorff operators are bounded on LP spaces with power weights, which is based on the b...
Supported by the National Natural Science Foundation of China (Grant No. 10861010)
Le be a nonnegative Radon measure on Rd which satisfies the growth condition (B(x, r)) Cotfor all x E Rd and r 〉 O, where Co is a fixed constant and 0 〈 n d. The purpose of this paper is to establish the boun...
Supported by the National Natural Science Foundation of China(10861010,11161044)
Let L = --△ + Ⅴ be the SchrSdinger operator on Rd, d ≥ 3, where A is the Laplacian on Rd and V ≠ 0 is a nonnegative function satisfying the reverse HSlder inequality. In this article, the author investigates some...
supported by National Natural Science Foundation of China(Grant No.10861010)
In this paper, the authors consider a class of bilinear pseudo-differential operators with symbols of order 0 and type (1, 0) in the sense of HSrmander and use the atomic decompositions of local Hardy spaces to esta...