On the Multi-Dimensional Duality Principle of Sawyer Type
On the Multi-Dimensional Duality Principle of Sawyer Type
摘要
A multi-dimensional version of the duality principle of Sawyer type [1] is obtained whenever the corresponding weight satisfies some doubling property.
A multi-dimensional version of the duality principle of Sawyer type [1] is obtained whenever the corresponding weight satisfies some doubling property.
参考文献4
-
1Sawyer E.Boundedness of classical operator on classical Lorentz spaces[].Studia Mathematica.1990
-
2Barza,S. Weighted multidimensional integral inequalities and applications . 1999
-
3S. Barza,L. E. Persson,H. Heinig.Duality theorem over the cone of monotone functions of several variables[]..1999
-
4S. Barza,L. E. Persson,V. Stepanov.On weighted multi-dimensional embeddings for monotone functions[].Mathematica Scandinavica.1998
-
1李兴民.关于“Sawyer权对和Muckenhoupt猜想”[J].Journal of Mathematical Research and Exposition,1995,15(3):465-467.
-
2余庆余,许秦.An Existence Theorem of Generalized Sawyer-Eliassen Equation[J].Applied Mathematics and Mechanics(English Edition),1994,15(7):611-614.
-
3侯茂文,瞿萌.粗糙核的分数次积分算子的两权模不等式[J].铜陵学院学报,2004,3(3):65-66.
-
4孙鹏,王小华.DOUBLING MEASURES ON GENERALIZED CANTOR SETS[J].Acta Mathematica Scientia,2013,33(6):1551-1560.
-
5Loukas GRAFAKOS.Maximal function characterizations of Hardy spaces on RD-spaces and their applications[J].Science China Mathematics,2008,51(12):2253-2284. 被引量：12
