论文标题
Lipschitz空间和同质Lipschitz空间与Biharmonic Operator有关的一些操作员的规律性属性
Regularity property of some operators on Lipschitz spaces and homogeneous Lipschitz spaces related to biharmonic operator
论文作者
论文摘要
在本文中，我们考虑了Lipschitz空间的特征和均匀的Lipschitz空间，与Biharmonic操作员相关的$δ^2. $带有此特征，我们证明了Bessel潜力的界限空间。这些结果的证据需要以必不可少的方式使用半群的语言。
In this paper, we consider the characterizations of the Lipschitz spaces and homogeneous Lipschitz spaces associated to the biharmonic operator $Δ^2.$ With this characterizations, we prove the boundedness of the Bessel potentials, fractional integrals, fractional powers, Riesz transforms and multipliers of Laplace transforms type associated to $Δ^2$ on Lipschitz spaces and homogeneous Lipschitz spaces. The proofs of these results need the language of semigroups in an essential way.
