Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8904466 | Acta Mathematica Scientia | 2017 | 14 Pages |
Abstract
This manuscript addresses Muckenhoupt Ap weight theory in connection to Morrey and BMO spaces. It is proved that Ï belongs to Muckenhoupt Ap class, if and only if Hardy-Littlewood maximal function M is bounded from weighted Lebesgue spaces Lp(Ï) to weighted Morrey spaces
Mqp(Ï) for 1 < q < p < â. As a corollary, if M is (weak) bounded on
Mqp(Ï), then Ï â Ap. The Ap condition also characterizes the boundedness of the Riesz transform Rj and convolution operators TÉ on weighted Morrey spaces. Finally, we show that Ï â Ap if and only if
ÏâBMOpâ²(Ï) for 1 ⤠p < â and 1/p+1/pâ²=1.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Dinghuai WANG, Jiang ZHOU, Wenyi CHEN,