scholarly journals The Lp Dirichlet problem for second order elliptic operators and a p-adapted square function

2007 ◽  
Vol 249 (2) ◽  
pp. 372-392 ◽  
Author(s):  
Martin Dindos ◽  
Stefanie Petermichl ◽  
Jill Pipher
Keyword(s):  
Dirichlet Problem ◽  
Elliptic Operators ◽  
Second Order ◽  
Square Function ◽  
Second Order Elliptic Operators

scholarly journals Commutators of Square Functions Related to Fractional Differentiation for Second-Order Elliptic Operators

2018 ◽  
Vol 2018 ◽  
pp. 1-10
Author(s):  
Xiongtao Wu ◽  
Wenyu Tao ◽  
Yanping Chen ◽  
Kai Zhu
Keyword(s):  
Elliptic Operator ◽  
Divergence Form ◽  
Elliptic Operators ◽  
Second Order ◽  
Square Function ◽  
Fractional Differentiation ◽  
Square Functions ◽  
Second Order Elliptic Operators ◽  
Complex Coefficients

Let L=-div(A∇) be a second-order divergence form elliptic operator, where A is an accretive n×n matrix with bounded measurable complex coefficients in Rn. In this paper, we mainly establish the Lp boundedness for the commutators generated by b∈Iα(BMO) and the square function related to fractional differentiation for second-order elliptic operators.

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