论文标题
非线性非局部道格拉斯身份
Nonlinear nonlocal Douglas identity
论文作者
论文摘要
我们为非局部非局部sobolev-bregman积分形式提供了耐强 - 斯坦和道格拉斯的身份，并采用单峰莱维措施。我们证明相应的泊松积分定义了Sobolev-Bregman空间的扩展运算符。我们还表明，泊松积分是sobolev-bregman形式的准图。
We give Hardy-Stein and Douglas identities for nonlinear nonlocal Sobolev-Bregman integral forms with unimodal Lévy measures. We prove that the corresponding Poisson integral defines an extension operator for the Sobolev-Bregman spaces. We also show that the Poisson integrals are quasiminimizers of the Sobolev-Bregman forms.
