𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Boundedness of singular integral operators of Calderón type (V)

✍ Scribed by Takafumi Murai

Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
386 KB
Volume
59
Category
Article
ISSN
0001-8708

No coin nor oath required. For personal study only.

✦ Synopsis

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-negative functions in Lp. To prove our theorem, we introduce a kernel i @(xx]I;(y'}

📜 SIMILAR VOLUMES

Fast Algorithms for Calderón–Zygmund Sin
Fast Algorithms for Calderón–Zygmund Singular Integral Operators
✍ Yang Qi Xiang 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 186 KB

Many people would say that Calderón-Zygmund operators have almost diagonal matrices in orthonormal wavelet bases. We will show that this statement is not true as stated. In contrast, the "nonstandard matrix representation" of Calderón-Zygmund operators always yields almost diagonal matrices. The Bey

On WeightedHpBoundedness of C-Z Type Sin
On WeightedHpBoundedness of C-Z Type Singular Integral Operators
✍ Jichang Kuang 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 166 KB

In this paper we prove that C-Z type singular integral operators Tf s p.¨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 < Ž . Ž .< than the standard Hormander condition H H x y y y H x dx F C. ¨<x<)2< y <