【摘要】 为了得到Heisenberg群上具有不连续系数的高阶退化椭圆方程强解的Morrey正则性,利用了Heisenberg群上奇异积分和奇异积分与BMO函数的交换子在Morrey空间上的有界性,通过凝固系数法,并将高阶向量场导数表示为奇异积分及交换子的和,由加权Morrey半范数的内插不等式得到高阶退化椭圆方程强解在Morrey空间中的正则性.更多还原

【Abstract】 The Morrey regularity of higher order degenerate elliptic equation with VMO coefficient on the Heisenberg group is obtained by using the boundedness of singular integrals and the commutators of singular integrals with the BMO function on the Morrey space.Furthermore,higher order derivative of vector field is represented by the sum of singular integrals and the commutators of singular integrals,and the Morrey regularity of strong solution to higher order degenerate elliptic equation is achieved through freezing coefficient.更多还原