Based on an ongoing work joint with Cheng Yuan this talk will show that $\partial_{\bar{z}}u=d\mu/dA$ has a distributional solution in the unit disk provided that the complex measure \mu is a fractional Carleson measure, thereby handling the corona and interpolation problems for the fractional Bloch algebra.

Add:Building 58, The School of Mathematics, Tianjin University Beiyangyuan Campus,

No. 135, Ya Guan Road, Jinnan District, Tianjin, PRC

Tel:022-60787827 Mail:math@tju.edu.cn