McIntosh, and Meyer [3] showed that llC[q5]1/ < Const(1 + ~~q5~~~) (cf. [2]). The method given in [6] yields that IlC[ti]II < ConsW + ll~ll~Mo ) (cf. Lemma 6). In this paper, we show 2. NOTATION AND LEMMAS We denote by L," the totality of real-valued functions in L" and by L,", the totality of non-
On WeightedHpBoundedness of C-Z Type Singular Integral Operators
β Scribed by Jichang Kuang
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 166 KB
- Volume
- 197
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
β¦ Synopsis
In this paper we prove that C-Z type singular integral operators Tf s p.Β¨H ) f are bounded from H p to L p and from H p to H p , 0p F 1, under conditions on
and stronger < Ε½ . Ε½ .< than the standard Hormander condition H H x y y y H x dx F C. Β¨<x<)2< y <
π SIMILAR VOLUMES
## Abstract The paper is devoted to an application of a general local method of studying the Fredholmness of nonlocal bounded linear operators to Banach algebras of singular integral operators with piecewise continuous coefficients and discrete subexponential groups of piecewise smooth shifts actin
We study and characterize the integral multilinear operators on a product of C K spaces in terms of the representing polymeasure of the operator. Some applications are given. In particular, we characterize the Borel polymeasures that can be extended to a measure in the product Ο-algebra, generalizin