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Functions of self‐adjoint operators in ideals of compact operators

Journal of the London Mathematical Society, Volume 95, Issue 1, Page 157-176, February 2017., 2017
Abstract For self‐adjoint operators A,B, a bounded operator J, and a function f:R→C, we obtain bounds in quasi‐normed ideals of compact operators for the difference f(A)J−Jf(B) in terms of the operator AJ−JB. The focus is on functions f that are smooth everywhere except for finitely many points. A typical example is the function f(t)=|t|γ with γ∈(0,1).
Alexander V. Sobolev
wiley +1 more source

Volterra composition operators from generalized weighted weighted Bergman spaces to µ‐Bloch spaces

Journal of Function Spaces, Volume 7, Issue 3, Page 225-240, 2009., 2009
Let φ be a holomorphic self‐map and g be a fixed holomorphic function on the unit ball B. The boundedness and compactness of the operator Tg,φf(z)=∫01f(φ(tz))ℜg(tz)dtt from the generalized weighted Bergman space into the µ‐Bloch space are studied in this paper.
Xiangling Zhu
wiley +1 more source

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

On the commutativity of Toeplitz operators with harmonic symbols

, 2018
In this paper we prove that if the polar decomposition of a symbol f is truncated above, i.e., f (reiθ ) = ∑k=−∞ e ikθ fk(r) where the fk ’s are radial functions, and if the associated Toeplitz operator Tf commutes with Tz2+ z2 , then Tf = Q(Tz2+ z2 ...
Hashem Al Sabi, I. Louhichi
semanticscholar +1 more source

, 2014
We investigate some problems related with Berezin symbols of operators on Hardy and Bergman spaces and their applications in summability theory and in solution of Beurling problem.
M. Karaev, M. Gürdal, U. Yamancı
semanticscholar +1 more source

Toeplitz Operators on Weighted Bergman Spaces [PDF]

, 2012
In this article we characterize the boundedness and compactness of a Toeplitz-type operator on weighted Bergman spaces satisfying the so-called Bekolle-Bonami condition in terms of the Berezin ...
Chacón, Gerardo R.
core +3 more sources

Jointly hyponormal block Toeplitz pairs with rational symbols

, 2018
In this paper, we are concerned with joint hyponormality of pairs of block Toeplitz operators acting on the vector-valued Hardy space H2 Cn of the unit circle.
I. Hwang, An-Hyun Kim
semanticscholar +1 more source

Journal of Primary Care & Community Health, 2023
Physician burnout has been increasing in the United States, especially in primary care, and the use of Electronic Health Records (EHRs) is a prominent contributor.
Jeffrey Budd
semanticscholar +1 more source

A subnormal Toeplitz completion

, 2016
In this paper we deal with a subnormal Toeplitz completion problem: Complete the unspecified Toeplitz operators of the partial block Toeplitz matrix G := [ U∗p ? ? U∗q ] (p,q = 1,2, · · ·) to make G subnormal, where U is the shift on the Hardy space H2(T)
I. Hwang, An-Hyun Kim, Jongrak Lee
semanticscholar +1 more source

A Hankel matrix acting on spaces of analytic functions [PDF]

, 2017
If $\mu $ is a positive Borel measure on the interval $[0, 1)$ we let $\mathcal H_\mu $ be the Hankel matrix $\mathcal H_\mu =(\mu _{n, k})_{n,k\ge 0}$ with entries $\mu _{n, k}=\mu _{n+k}$, where, for $n\,=\,0, 1, 2, \dots $, $\mu_n$ denotes the moment ...
Girela, Daniel, Merchán, Noel
core +2 more sources

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