TY - JOUR
T1 - A Note on Burkholder Integrals
AU - Feng , Xiaogao
AU - Huo , Shengjin
JO - Journal of Mathematical Study
VL - 1
SP - 42
EP - 49
PY - 2016
DA - 2016/03
SN - 49
DO - http://doi.org/10.4208/jms.v49n1.16.05
UR - https://global-sci.org/intro/article_detail/jms/987.html
KW - Quasiconformal mapping, Burkholder function, Morrey's problem.
AB - <p style="text-align: justify;">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.</p>