The author studies the oscillating multipliers on Riemannian symmetric spaceSL(3,IH)/Sp(3).The results are analogous to that for Riemannian symmetric spaces of rank one and of complex type.
In this paper, the boundedness of an oscillating multiplier mγ,β for different β on the Herz type spaces is obtained. This operator was initially studied by Wainger and FeffermanStein. Our results extend one of the...In this paper, the boundedness of an oscillating multiplier mγ,β for different β on the Herz type spaces is obtained. This operator was initially studied by Wainger and FeffermanStein. Our results extend one of the main results in a paper by Xiaochun Li and Shanzhen Lu for the non-weighted case, if β is close to 1 or α is suitably large. For β ≥ 1, the results with no weights on the Herz type spaces are also new.展开更多
Abstract In this paper, we study Triebel-Lizorkin space estimates for an oscillating multiplier mΩ,α,β. This operator was initially studied by Wainger and by Fefferman-Stein in the Lebesgue spaces. We obtain the bo...Abstract In this paper, we study Triebel-Lizorkin space estimates for an oscillating multiplier mΩ,α,β. This operator was initially studied by Wainger and by Fefferman-Stein in the Lebesgue spaces. We obtain the boundedness results on the Triebel-Lizorkin space Fpα,q（R^n） for different p, q.展开更多
文摘The author studies the oscillating multipliers on Riemannian symmetric spaceSL(3,IH)/Sp(3).The results are analogous to that for Riemannian symmetric spaces of rank one and of complex type.
基金Supported by the National Natural Science Foundation of China (10931001, 10871173)
文摘In this paper, the boundedness of an oscillating multiplier mγ,β for different β on the Herz type spaces is obtained. This operator was initially studied by Wainger and FeffermanStein. Our results extend one of the main results in a paper by Xiaochun Li and Shanzhen Lu for the non-weighted case, if β is close to 1 or α is suitably large. For β ≥ 1, the results with no weights on the Herz type spaces are also new.
基金Supported by National Natural Science Foundation of China (Grant Nos.10931001 and 10871173)
文摘Abstract In this paper, we study Triebel-Lizorkin space estimates for an oscillating multiplier mΩ,α,β. This operator was initially studied by Wainger and by Fefferman-Stein in the Lebesgue spaces. We obtain the boundedness results on the Triebel-Lizorkin space Fpα,q（R^n） for different p, q.
