The Bellman functions and two-weight inequalities for Haar multipliers
نویسندگان
چکیده
منابع مشابه
The Bellman Functions and Two-weight Inequalities for Haar Multipliers
hold with some constant C independent of f? (Unless otherwise specified, all integrals are taken with respect to the standard Lebesgue measure on R.) Denoting w := u−1, we can reformulate the above question as follows: When is the operator T := M√vT0M√w bounded in L ? (Here Mφ stands for the operator of multiplication by φ.) Such weighted norm inequalities arise naturally in many areas of analy...
متن کاملBellman Functions and Two Weight Inequalities for Haar Multipliers
We are going to give necessary and suucient conditions for two weight norm inequalities for Haar multipliers operators and for square functions. We also give suucient conditions for two weight norm inequalities for the Hilbert transform. 0. Introduction Weighted norm inequalities for singular integral operators appear naturally in many areas of analysis, probability, operator theory ect. The on...
متن کاملBellman Functions and Two Weight Inequalities for Haar Multipliers
Weighted norm inequalities for singular integral operators appear naturally in many areas of analysis, probability, operator theory ect. The one-weight case is now pretty well understood, and the answers are given by the famous Helson–Szegö theorem and the Hunt–Muckenhoupt–Wheden Theorem. The fist one state that the Hilbert Transform H is bounded in the weighted space L(w) if and only if w can ...
متن کاملTwo Weight Inequalities for Individual Haar Multipliers and Other Well Localized Operators
In this paper we are proving that Sawyer type condition for boundedness work for individual Haar multipliers, as well as for the Haar shift and other “well localized” operators.
متن کاملHaar Multipliers, Paraproducts and Weighted Inequalities
In this paper we present a brief survey on Haar multipliers, dyadic paraproducts, and recent results on their applications to deduce scalar and vector valued weighted inequalities. We present a new proof of the boundedness of a Haar multiplier in L p (R). The proof is based on a stopping time argument suggested by P. W. Jones for the case p = 2, that it is adapted to the case 1 < p < 1 using an...
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: Journal of the American Mathematical Society
سال: 1999
ISSN: 0894-0347,1088-6834
DOI: 10.1090/s0894-0347-99-00310-0