@Article{JMS-49-42, author = {Feng , Xiaogao and Huo , Shengjin}, title = {A Note on Burkholder Integrals}, journal = {Journal of Mathematical Study}, year = {2016}, volume = {49}, number = {1}, pages = {42--49}, abstract = {

In this note, for $k$-quasiconformal mappings of a bounded domain into the complex plane, we give an upper bound of Burkholder integral. Moreover, as an application we obtain an upper bound of the $L^p$-integral of $\sqrt{J_f}$ and $|Df|$ for certain $K$-quasiconformal mappings.

}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v49n1.16.05}, url = {http://global-sci.org/intro/article_detail/jms/987.html} }