Continuity of Calderón-Zygmund Operators on the Space BMO
نویسندگان
چکیده
منابع مشابه
Continuity of Calderón-Zygmund Operators on the Space BMO
David and Journé discovered a criterion for the continuity on L of CalderónZygmund operators defined by singular integrals. In their approach the distributional kernel of the given operator is locally Hölder continuous outside the diagonal. The aim of this paper is to prove a David-Journé theorem where this smoothness assumption is replaced by a weaker one. Our approach strongly relies on an al...
متن کاملFe b 20 00 BMO , H 1 , AND CALDERÓN - ZYGMUND OPERATORS FOR NON DOUBLING MEASURES
Given a Radon measure μ on R, which may be non doubling, we introduce a space of type BMO with respect to this measure. It is shown that many properties which hold for the classical space BMO(μ) when μ is a doubling measure remain valid for the space of type BMO introduced in this paper, without assuming μ doubling. For instance, Calderón-Zygmund operators which are bounded on L(μ) are also bou...
متن کاملContinuity of Calderón-zygmund Operators
Twenty years ago David and Journé discovered a criterion for the continuity on L of Calderón-Zygmund operators defined by singular integrals. In their approach the distributional kernel of the given operator is locally Hölder continuous outside the diagonal. The aim of this paper is to prove a David-Journé theorem where this smoothness assumption is replaced by a weaker one. Our approach strong...
متن کاملWeighted norm inequalities for Toeplitz type operators associated to generalized Calderón–Zygmund operators
Let [Formula: see text] be a generalized Calderón-Zygmund operator or [Formula: see text] ( the identity operator), let [Formula: see text] and [Formula: see text] be the linear operators, and let [Formula: see text]. Denote the Toeplitz type operator by [Formula: see text]where [Formula: see text] and [Formula: see text] is fractional integral operator. In this paper, we establish the sharp ma...
متن کاملToeplitz Operators with Bmo Symbols on the Segal-bargmann Space
We show that Zorboska’s criterion for compactness of Toeplitz operators with BMO symbols on the Bergman space of the unit disc holds, by a different proof, for the Segal-Bargmann space of Gaussian square-integrable entire functions on Cn. We establish some basic properties of BMO for p ≥ 1 and complete the characterization of bounded and compact Toeplitz operators with BMO symbols. Via the Barg...
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 Complutense
سال: 2007
ISSN: 1988-2807,1139-1138
DOI: 10.5209/rev_rema.2007.v20.n2.16521