A weighted norm inequality for singular integrals
نویسندگان
چکیده
منابع مشابه
Weighted norm inequalities for a class of rough singular integrals
Weighted norm inequalities are proved for a rough homogeneous singular integral operator and its corresponding maximal truncated singular operator. Our results are essential improvements as well as extensions of some known results on the weighted boundedness of singular integrals.
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نامساوی کوشی-شوارتز در حالت کلاسیک در فضای اندازه فازی برقرار نمی باشد اما با اعمال شرط هایی در مسئله مانند یکنوا بودن توابع و قرار گرفتن در بازه صفر ویک می توان دو نوع نامساوی کوشی-شوارتز را در فضای اندازه فازی اثبات نمود.
15 صفحه اولMaximal Operator and Weighted Norm Inequalities for Multilinear Singular Integrals
The analysis of multilinear singular integrals has much of its origins in several works by Coifman and Meyer in the 70’s; see for example [3]. More recently, in [4] and [5], an updated systematic treatment of multilinear singular integral operators of Calderón-Zygmund type was presented in light of some new developments. See also [6] and the references therein for a detailed description of prev...
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Weighted norm estimates and representation formulas are proved for nonhomogeneous singular integrals with no regularity condition on the kernel and only an L logL integrability condition. The representation formulas involve averages over a starshaped set naturally associated with the kernel. The proof of the norm estimates is based on the representation formulas, some new variations of the Hard...
متن کاملA NORM INEQUALITY FOR CHEBYSHEV CENTRES
In this paper, we study the Chebyshev centres of bounded subsets of normed spaces and obtain a norm inequality for relative centres. In particular, we prove that if T is a remotal subset of an inner product space H, and F is a star-shaped set at a relative Chebyshev centre c of T with respect to F, then llx - qT (x)1I2 2 Ilx-cll2 + Ilc-qT (c) 112 x E F, where qT : F + T is any choice functi...
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ژورنال
عنوان ژورنال: Studia Mathematica
سال: 1976
ISSN: 0039-3223,1730-6337
DOI: 10.4064/sm-57-1-97-101