A New Class of Weights Adapted to Rough Singular Integrals and Marcinkiewicz Integrals

作者：Zhang Chun Jie^*; You Ying

来源：Acta Mathematica Sinica-English Series, 2009, 25(8): 1275-1288.

DOI：10.1007/s10114-009-7537-5

• weighted estimates
• singular integral
• Marcinkiewicz integral

In this paper, we introduce anew class of weights (A) over bar (p)(R(n)) which retains many fine properties of the classical Muchenhoupt weights A(p)(R(n)). While A(p)(R(n)) is too big a class to obtain the weighted norm inequalities for rough singular integrals and Marcinkiewicz integrals, our new class (A) over bar (p)(R(n)) adapts well to these rough operators. As applications, we improve some known weighted estimates.

• 出版日期2009-8
• 单位杭州电子科技大学