We introduce certain Calderón-Zygmund-type operators and discuss their boundedness on spaces such as weighted Lebesgue spaces,weighted weak Lebesgue spaces,weighted Hardy spaces and weighted weak Hardy spaces.The...We introduce certain Calderón-Zygmund-type operators and discuss their boundedness on spaces such as weighted Lebesgue spaces,weighted weak Lebesgue spaces,weighted Hardy spaces and weighted weak Hardy spaces.The sharpness of some results is also investigated.展开更多
We introduce the weak Hardy-Morrey spaces in this paper.We also obtain the atomic decompositions of the weak Hardy-Morrey spaces.By using these decompositions,we establish the Hardy inequalities on the weak Hardy-Morr...We introduce the weak Hardy-Morrey spaces in this paper.We also obtain the atomic decompositions of the weak Hardy-Morrey spaces.By using these decompositions,we establish the Hardy inequalities on the weak Hardy-Morrey spaces.展开更多
Abstract. The authors introduce the (θ1,θ2)-type Calderon-Zygmund operators andthe operators with the semi-(θ, N) regular kernels, and study their boundedness on theweighted Lebesgue spacest the weighted weak Lebes...Abstract. The authors introduce the (θ1,θ2)-type Calderon-Zygmund operators andthe operators with the semi-(θ, N) regular kernels, and study their boundedness on theweighted Lebesgue spacest the weighted weak Lebesgue spaces, the weighted Hardy spacesand the weighted weak Hardy spaces.展开更多
基金Dachun Yang was partially supported by the NNSF and the SEDF of China
文摘We introduce certain Calderón-Zygmund-type operators and discuss their boundedness on spaces such as weighted Lebesgue spaces,weighted weak Lebesgue spaces,weighted Hardy spaces and weighted weak Hardy spaces.The sharpness of some results is also investigated.
文摘We introduce the weak Hardy-Morrey spaces in this paper.We also obtain the atomic decompositions of the weak Hardy-Morrey spaces.By using these decompositions,we establish the Hardy inequalities on the weak Hardy-Morrey spaces.
文摘Abstract. The authors introduce the (θ1,θ2)-type Calderon-Zygmund operators andthe operators with the semi-(θ, N) regular kernels, and study their boundedness on theweighted Lebesgue spacest the weighted weak Lebesgue spaces, the weighted Hardy spacesand the weighted weak Hardy spaces.
