凸体上解析函数的Distribution of Values
The Distribution of Values of Analytic Functions on Convex Bodies
摘要：
从[Br]开始研究解析函数的局部性质，我们证明了这类函数关于其Chebyshev度的新的无量纲不等式。作为结果，我们得到了具有绝对值的解析函数的反向Holder不等式（即，与尺寸无关）常数。对于多项式等不等式最近证明了Bobkov谁锐化和推广以前的Bourgain结果和Sodin和Volberg。
英文摘要：
Proceeding the study of local properties of analytic functions started in [Br] we prove new dimensionless inequalities for such functions in terms of their Chebyshev degree. As a consequence, we obtain the reverse Holder inequalities for analytic functions with absolute (i.e., independent of dimension) constants. For polynomials such inequalities were recently proved by Bobkov who sharpened and generalized the previous Bourgain result and by Sodin and Volberg.
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