Sharp inequalities for holomorphic functions
نویسندگان
چکیده
منابع مشابه
Sharp Inequalities for Polygamma Functions
where μ is a nonnegative measure on [0,∞) such that the integral (2) converges for all x > 0. This means that a function f(x) is completely monotonic on (0,∞) if and only if it is a Laplace transform of the measure μ. The completely monotonic functions have applications in different branches of mathematical sciences. For example, they play some role in combinatorics, numerical and asymptotic an...
متن کاملSharp Inequalities for Trigonometric and Hyperbolic Functions
We establish several sharp inequalities for trigonometric and hyperbolic functions. Our results sharpen some known inequalities. Mathematics subject classification (2010): 26D05, 26D07.
متن کاملSharp integral inequalities for harmonic functions
Motivated by Carleman’s proof of isoperimetric inequality in the plane, we study some sharp integral inequalities for harmonic functions on the upper halfspace. We also derive the regularity for nonnegative solutions of the associated integral system and some Liouville type theorems.
متن کاملInequalities for Holomorphic Functions of Several Complex Variables
Sharp norm-inequalities, valid for functional Hilbert spaces of holomorphic functions on the polydisk, unit ball and C" are established by using the notion of reproducing kernels. These inequalities extend earlier results of Saitoh and ours.
متن کاملSharp Dimension Estimates of Holomorphic Functions and Rigidity
Let M be a complete noncompact Kähler manifold of complex dimension n with nonnegative holomorphic bisectional curvature. Denote by Od(M) the space of holomorphic functions of polynomial growth of degree at most d on M. In this paper we prove that dimCOd(M) ≤ dimCO[d](C), for all d > 0, with equality for some positive integer d if and only if M is holomorphically isometric to C. We also obtain ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Illinois Journal of Mathematics
سال: 1987
ISSN: 0019-2082
DOI: 10.1215/ijm/1255989319