加倍测度，单调性和拟共形性
Doubling measures, monotonicity, and quasiconformality
摘要：
在欧几里得空间中，通过对具有适当衰减的加倍测度的不连续核的积分，构造了拟共形映射。以这种方式产生的映射的微分满足加倍条件的迷向形式。我们证明了这个迷向加倍条件是满足一定的分形集的距离函数。最后，我们构造了一个关于勒贝格测度不绝对连续的迷向加倍测度。
英文摘要：
We construct quasiconformal mappings in Euclidean spaces by integration of a discontinuous kernel against doubling measures with suitable decay. The differentials of mappings that arise in this way satisfy an isotropic form of the doubling condition. We prove that this isotropic doubling condition is satisfied by the distance functions of certain fractal sets. Finally, we construct an isotropic doubling measure that is not absolutely continuous with respect to the Lebesgue measure.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
