【摘要】 本文通过Heisenberg群上的拟距离定义了Heisenberg群上的BMO,VMO和Morrey空间,研究了Heisenberg群上奇异积分和奇异积分与BMO函数交换子在Morrey空间上的有界性.作为应用,研究了由Heisenberg群上的向量场构成的,具有不连续系数的散度型方程的弱解在Morrey空间中的正则性.更多还原

【Abstract】 The aim of this paper is to study the boundedness of singular integrals and commutators of a singular integral with a BMO function in the Morrey space associated with the Heisenberg group,and give an application to the regularity of weak solutions in the Morrey space for the divergence equation with discontinuous coefficients.更多还原