Singular integrals along submanifolds of finite type.
نویسندگان
چکیده
منابع مشابه
Rough Singular Integrals Along Submanifolds of Finite Type on Product Domains
We establish the L boundedness of singular integrals on product domains with rough kernels in L(logL) and are supported by subvarieties.
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for all test functions f , where y′ = y/|y| ∈ Sn−1. We denote SIΩ,h( f ) by SIΩ( f ) if h= 1. The operator SIΩ was first studied by Calderón and Zygmund in their well-known papers (see [1, 2]). They proved that SIΩ is Lp(Rn) bounded, 1 < p < ∞, provided that Ω ∈ LLog+L(Sn−1) satisfying (1.1). They also showed that the space LLog+L(Sn−1) cannot be replaced by any Orlicz space Lφ(Sn−1) with a mon...
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ژورنال
عنوان ژورنال: Michigan Mathematical Journal
سال: 1998
ISSN: 0026-2285
DOI: 10.1307/mmj/1030132087