论文标题
$ a _ {\ infty} $权重及其应用程序的Lebesgue空间的转移结果
A transference result for Lebesgue spaces with $A_{\infty }$ weights and its applications
论文作者
论文摘要
在这项工作中，我们获得了具有$ a _ {\ infty} $权重的Lebesgue空间的转移定理，即，从某些统一的不平等之处开始，可以在Lebesgue Spaces中获得类似的不平等现象，并具有$ a _ {\ infty} $权重。这种转移技术使我们能够轻松获得一些加权规范不平等。同样，转移结果可使使用分数差异操作员在加权lebesgue空间中使用分数差异的可能性比经典已知的可能性容易。因此，我们很容易获得一些规范的不平等。可以通过不同的证据获得一些通过有限程度的积分函数来近似的重要近似不平等。
In this work we obtain a transference theorem for Lebesgue spaces with $A_{\infty }$ weights, namely, starting from some uniform-norm inequalities it is possible to obtain similar inequalities in Lebesgue spaces with $A_{\infty }$ weights. This transference technic allows us to obtain some weighted norm inequalities easily. Also transference result gives possibility to use fractional difference operators in weighted Lebesgue spaces easier than the classical known one. We can obtain some norm-like inequalities easily as a consequence. Some important approximation inequalities of approximation by integral functions of finite degree can be obtained with a different proof.
