Sharp estimates for iterated Green functions
نویسندگان
چکیده
منابع مشابه
On Sharp Aperture-Weighted Estimates for Square Functions
Let Sα,ψ( f ) be the square function defined by means of the cone in R n+1 + of aperture α, and a standard kernel ψ . Let [w]Ap denote the Ap characteristic of the weight w. We show that for any 1 < p < ∞ and α ≥ 1, ‖Sα,ψ‖L p(w) αn[w] max ( 1 2 , 1 p−1 ) Ap . For each fixed α the dependence on [w]Ap is sharp. Also, on all class Ap the result is sharp in α. Previously this estimate was proved in...
متن کاملSharp maximal and weighted estimates for multilinear iterated commutators of multilinear integrals with generalized kernels
In this paper, the authors establish the sharp maximal estimates for the multilinear iterated commutators generated by [Formula: see text] functions and multilinear singular integral operators with generalized kernels. As applications, the boundedness of this kind of multilinear iterated commutators on the product of weighted Lebesgue spaces and the product of variable exponent Lebesgue spaces ...
متن کاملApplication of the Norm Estimates for Univalence of Analytic Functions
By using norm estimates of the pre-Schwarzian derivatives for certain family of analytic functions, we shall give simple sufficient conditions for univalence of analytic functions.
متن کاملSharp estimates of approximation of periodic functions in Hölder spaces
The main purpose of the paper is to study sharp estimates of approximation of periodic functions in the Hölder spaces H p for all 0 < p ≤ ∞ and 0 < α ≤ r. By using modifications of the classical moduli of smoothness, we give improvements of the direct and inverse theorems of approximation and prove the criteria for the precise order of decrease of the best approximation in these spaces. Moreove...
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: Proceedings of the Royal Society of Edinburgh: Section A Mathematics
سال: 2002
ISSN: 0308-2105,1473-7124
DOI: 10.1017/s0308210500001542