Results 21 to 30 of about 830 (68)
Matriceal Lebesgue spaces and Hölder inequality
Journal of Function Spaces, Volume 3, Issue 3, Page 239-249, 2005., 2005 We introduce a class of spaces of infinite matrices similar to the class of Lebesgue spaces Lp(T), 1 ≤ p ≤ ∞, and we prove matriceal versions of Hölder inequality.
Sorina Barza +3 more
wiley +1 more source
$C^*$-algebras generated by truncated Toeplitz operators [PDF]
, 2012 We obtain an analogue of Coburn's description of the Toeplitz algebra in the setting of truncated Toeplitz operators. As a byproduct, we provide several examples of complex symmetric operators which are not unitarily equivalent to truncated Toeplitz ...
Garcia, Stephan Ramon +2 more
core +3 more sources
Essential norm of weighted composition operator between α‐Bloch space and β‐Bloch space in polydiscs
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 71, Page 3941-3950, 2004., 2004 Let φ(z) = (φ1(z), …, φn(z)) be a holomorphic self‐map of 𝔻n and ψ(z) a holomorphic function on 𝔻n, where 𝔻n is the unit polydiscs of ℂn. Let 0 < α, β < 1, we compute the essential norm of a weighted composition operator ψCφ between α‐Bloch space ℬα(𝔻n) and β‐Bloch space ℬβ(𝔻n).
Li Songxiao, Zhu Xiangling
wiley +1 more source
Block Toeplitz operators with frequency‐modulated semi‐almost periodic symbols
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 34, Page 2157-2176, 2003., 2003 This paper is concerned with the influence of frequency modulation on the semi‐Fredholm properties of Toeplitz operators with oscillating matrix symbols. The main results give conditions on an orientation‐preserving homeomorphism α of the real line that ensure the following: if b belongs to a certain class of oscillating matrix functions (periodic ...
A. Böttcher, S. Grudsky, I. Spitkovsky
wiley +1 more source
Toeplitz operators and Wiener-Hopf factorisation: an introduction
Concrete Operators, 2017 Wiener-Hopf factorisation plays an important role in the theory of Toeplitz operators. We consider here Toeplitz operators in the Hardy spaces Hp of the upper half-plane and we review how their Fredholm properties can be studied in terms of a Wiener-Hopf
Câmara M. Cristina
doaj +1 more source
Toeplitz operators with BMO symbols and the Berezin transform
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 46, Page 2929-2945, 2003., 2003 We prove that the boundedness and compactness of the Toeplitz operator on the Bergman space with a BMO1 symbol is completely determined by the boundary behaviour of its Berezin transform. This result extends the known results in the cases when the symbol is either a positive L1‐function or an L∞ function.
Nina Zorboska
wiley +1 more source
International Journal of Stochastic Analysis, Volume 16, Issue 3, Page 209-231, 2003., 2003 Sensitivity of output of a linear operator to its input can be quantified in various ways. In Control Theory, the input is usually interpreted as disturbance and the output is to be minimized in some sense. In stochastic worst‐case design settings, the disturbance is considered random with imprecisely known probability distribution.
Phil Diamond +2 more
wiley +1 more source
Multiple sampling and interpolation in the classical Fock space
, 2015 We study multiple sampling, interpolation and uniqueness for the classical Fock space in the case of unbounded mul ...
Borichev, Alexander +3 more
core +2 more sources
Finite‐rank intermediate Hankel operators on the Bergman space
International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 1, Page 19-31, 2001., 2001 Let L2 = L2(D, r dr dθ/π) be the Lebesgue space on the open unit disc and let La2=L2∩ℋol(D) be the Bergman space. Let P be the orthogonal projection of L2 onto La2 and let Q be the orthogonal projection onto L¯a,02={g∈L2;g¯∈La2, g(0)=0}. Then I − P ≥ Q.
Takahiko Nakazi, Tomoko Osawa
wiley +1 more source
Complex Manifolds, 2017 This paper gives a full characterization of the reducing subspaces for the multiplication operator Mϕ on the Dirichlet space with symbol of finite Blaschke product ϕ of order 5I 6I 7.
Gu Caixing, Luo Shuaibing, Xiao Jie
doaj +1 more source