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標題: Titlebook: Carleson Curves, Muckenhoupt Weights, and Toeplitz Operators; Albrecht B?ttcher,Yuri I. Karlovich Book 1997 Springer Basel AG 1997 Singula [打印本頁]

作者: Flange    時間: 2025-3-21 17:25
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作者: 委派    時間: 2025-3-21 20:59
AgInSe2: extinction coefficient,ith only one singularity, we establish a criterion for their membership in ..(Γ) in terms of the W transform. It is this criterion which will enable us to identify plenty of oscillating weights as Muckenhoupt weights.
作者: Champion    時間: 2025-3-22 02:09
CuAlSe2: extinction coefficient,segments joining the endpoints of each jump. We will show that in the general case these line segments metamorphose into circular arcs, logarithmic double spirals, horns, spiralic horns, and eventually into what we call leaves. The shape of the leaves can be described in terms of the indicator functions.
作者: Proponent    時間: 2025-3-22 05:20
Book 1997re for the first time..The material has been polished in an effort to make advanced topics accessible to a broad readership. The book is addressed to a wide audience of students and mathematicians interested in real and complex analysis, functional analysis and operator theory..
作者: 滑動    時間: 2025-3-22 10:41
Book 1997ators with piecewise continuous symbols and singular integral operators with piecewise continuous coefficients. It includes an introduction to Carleson curves, Muckenhoupt weights, weighted norm inequalities, local principles, Wiener-Hopf factorization, and Banach algebras generated by idempotents.
作者: puzzle    時間: 2025-3-22 16:39

作者: puzzle    時間: 2025-3-22 20:38

作者: lambaste    時間: 2025-3-22 22:02
Boundedness of the Cauchy singular integral,is theorem is difficult and goes beyond the scope of this book. We nevertheless decided to write down a proof, but this proof will only be given in Chapter 5. The purpose of this chapter is to provide the reader with some facts and results that should suffice to understand Chapters 6 to 10 without browsing in Chapter 5.
作者: 小故事    時間: 2025-3-23 02:39
Carleson curves,In the spectral theory of Toeplitz and singular integral operators, the spirality indices will play a decisive role. We therefore compute the spirality indices for a sufficiently large class of concrete Carleson curves.
作者: critic    時間: 2025-3-23 05:36

作者: Sputum    時間: 2025-3-23 09:42

作者: Promotion    時間: 2025-3-23 16:26

作者: 取之不竭    時間: 2025-3-23 19:01
General properties of Toeplitz operators,er words, .(a) is the bounded operator which sends . ∈ ..(Γ, ω) to .(ag) ∈ ..(Γ, ω). A central problem in the spectral theory of singular integral operators is the determination of the essential spectrum of Toeplitz operators with piecewise continuous symbols. This problem will be completely solved in Chapter 7.
作者: 波動    時間: 2025-3-23 22:22
Carleson curves,xamples. The “oscillation” of a Carleson curve Γ at a point . ∈ Γ may be measured by its Seifullayev bounds ..and ..as well as its spirality indices .. and ..The definition of the spirality indices requires the notion of the W transform and some facts from the theory of submultiplicative functions.
作者: 微不足道    時間: 2025-3-24 06:07

作者: 感染    時間: 2025-3-24 10:33
Boundedness of the Cauchy singular integral,of this book, says that . is bounded on ..(Γ, .) (1 <. ∞) if and only if Γ is a Carleson curve and . is a Muckenhoupt weight in ..(Γ). The proof of this theorem is difficult and goes beyond the scope of this book. We nevertheless decided to write down a proof, but this proof will only be given in Ch
作者: Stricture    時間: 2025-3-24 12:22

作者: Coronary-Spasm    時間: 2025-3-24 18:26

作者: SLAY    時間: 2025-3-24 19:48
Piecewise continuous symbols,bols of the local representatives, we will completely identify the essential spectra of Toeplitz operators with piecewise continuous symbols. We know from the preceding chapter that the essential spectrum of a classical Toeplitz operator is the union of the essential range of the symbol and of line
作者: DEAWL    時間: 2025-3-25 01:26

作者: 平    時間: 2025-3-25 06:07
978-3-0348-9828-7Springer Basel AG 1997
作者: 官僚統(tǒng)治    時間: 2025-3-25 11:26

作者: Biguanides    時間: 2025-3-25 14:06

作者: Autobiography    時間: 2025-3-25 18:20

作者: 性冷淡    時間: 2025-3-25 20:55
https://doi.org/10.1007/978-3-642-28531-8xamples. The “oscillation” of a Carleson curve Γ at a point . ∈ Γ may be measured by its Seifullayev bounds ..and ..as well as its spirality indices .. and ..The definition of the spirality indices requires the notion of the W transform and some facts from the theory of submultiplicative functions.
作者: 無能的人    時間: 2025-3-26 00:26

作者: 沉積物    時間: 2025-3-26 05:12

作者: 防止    時間: 2025-3-26 10:59
AgInSe2: extinction coefficient,on ..(Γ,.). There are now various proofs of this deep result, and the proof given in the following is certainly not the most elegant proof. However, it is reasonably self-contained and it contains several details which are usually disposed of as “standard” and are therefore omitted in the advanced t
作者: 本能    時間: 2025-3-26 15:06
AgInSe2: extinction coefficient,sily that S. = ., and hence .:= . is a bounded projection on ..(Γ, ω). The image of ., i.e. the space ...(Γ, ω):= ..(Γ, ω), is therefore a closed subspace of ..(Γ, ω), which is called the pth Hardy space of Γ and ω. If a ∈ ..(Γ), then the operator of multiplication by a is obviously bounded on ..(Γ,
作者: certain    時間: 2025-3-26 18:32

作者: 歌唱隊    時間: 2025-3-27 00:31

作者: cipher    時間: 2025-3-27 03:28

作者: GET    時間: 2025-3-27 08:13

作者: –DOX    時間: 2025-3-27 10:14

作者: STANT    時間: 2025-3-27 14:31
https://doi.org/10.1007/978-3-642-28531-8This chapter contains extensions, generalizations, and analogues of certain results of the previous chapters. For lack of space, the results of the present chapter are not equipped with full proofs, but each section is a short introductory survey on a more or less autonomous topic with precise references to the literature.
作者: 蕁麻    時間: 2025-3-27 20:21
Interaction between curve and weight,Chapter 1 dealt with curves only, and in Chapter 2 we focussed our attention on weights, although weights cannot exist without a curve they live on. We now turn to some problems arising when considering a curve and a weight on this curve as a whole.
作者: Obsessed    時間: 2025-3-28 00:25

作者: ONYM    時間: 2025-3-28 02:19
Composed curves,The purpose of this chapter is to establish Fredholm criteria for operators in the algebra alg (.., .(Γ)) in case Γ is an arbitrary composed Carleson curve. Localization techniques give us the essential spectrum of an operator in alg (.., .(Γ)) as the union of its local spectra.
作者: Entirety    時間: 2025-3-28 10:03

作者: diathermy    時間: 2025-3-28 12:31
0743-1643 ressed to a wide audience of students and mathematicians interested in real and complex analysis, functional analysis and operator theory..978-3-0348-9828-7978-3-0348-8922-3Series ISSN 0743-1643 Series E-ISSN 2296-505X
作者: 現(xiàn)暈光    時間: 2025-3-28 18:14
Carleson Curves, Muckenhoupt Weights, and Toeplitz Operators
作者: conformity    時間: 2025-3-28 21:18
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