Sharp weak type estimates for weights in the class $A_{p_1, p_2}$
نویسندگان
چکیده
منابع مشابه
On Weak and Strong Sharp Weighted Estimates of Square Function
We reduce here end-point estimates for one singular operator (namely for dyadic square function) to Monge–Ampère equations with drift. The spaces are weighted spaces, and therefore the domain, where we solve our PDE is non-convex. If we are in the end-point situation our goal is either to find a logarithmic blow-up of the norm estimate from below, or to prove that there is upper estimate of the...
متن کاملSharp Weak - Type ( 1 , 1 ) Martingale Inequalities
Let X be a Hilbert-space valued martingale and Y a real-valued supermartingale which are orthogonal and with Y diierentially subordinate to X. Then where the constant (2) is Catalan's constant whose approximate value is 0:915965594. The constant K is B. Davis' constant in the Kolmogorov's weak-type inequality for conjugate harmonic functions in the unit disk. The inequality is sharp.
متن کاملTHE SHARP Ap CONSTANT FOR WEIGHTS IN A REVERSE-HÖLDER CLASS
Coifman and Fefferman established that the class of Muckenhoupt weights is equivalent to the class of weights satisfying the “reverse Hölder inequality”. In a recent paper V. Vasyunin [17] presented a proof of the reverse Hölder inequality with sharp constants for the weights satisfying the usual Muckenhoupt condition. In this paper we present the inverse, that is, we use the Bellman function t...
متن کاملExistence and uniqueness of weak solutions for a class of nonlinear divergence type diffusion equations
In this paper, we study the Neumann boundary value problem of a class of nonlinear divergence type diffusion equations. By a priori estimates, difference and variation techniques, we establish the existence and uniqueness of weak solutions of this problem.
متن کاملWeak Type (1,1) Estimates for a Class of Discrete Rough Maximal Functions
We prove weak type (1, 1) estimate for the maximal function associated with the sequence [mα], 1 < α < 1+ 1 1000 . As a consequence, the sequence [mα] is universally L1-good.
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: Revista Matemática Iberoamericana
سال: 2013
ISSN: 0213-2230
DOI: 10.4171/rmi/726