Results 11 to 20 of about 4,903,780 (58)
Bounded and compact Hankel operators on the Fock-Sobolev spaces
Filomat, 2022 This paper focuses on the operator-theoretic properties (boundedness and compactness) of Hankel operators on the Fock-Sobolev spaces Fp,m in terms of symbols in BMO pr and VMO pr spaces, respectively, for a non-negative integers m, 1 ? p < ? and r > 0.
Anuradha Gupta, B. Gupta
semanticscholar +1 more source
Ranks of commutators of truncated Toeplitz operators on finite dimensional spaces
, 2021 We study the rank of commutator [Aη ,A∗η ] of truncated Toeplitz operators Aη and A∗η with several type of inner symbols η on the model space Hθ with finite Blaschke product θ . Mathematics subject classification (2010): Primary 47B35; Secondary 32A37.
Yong Chen, K. Izuchi, Y. J. Lee
semanticscholar +1 more source
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
Hyponormal Toeplitz operators on the Bergman space
, 2017 A Hilbert space operator is hyponormal if T ∗T − TT ∗ is positive. We consider hyponormality of Toeplitz operators on the Bergman space with a symbol in the class of f + g where f is a monomial and g is a polynomial.
Houcine Sadraoui, M. Guediri
semanticscholar +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
Key recommendations for primary care from the 2022 Global Initiative for Asthma (GINA) update
npj Primary Care Respiratory Medicine, 2023 The Global Initiative for Asthma (GINA) was established in 1993 by the World Health Organization and the US National Heart Lung and Blood Institute to improve asthma awareness, prevention and management worldwide.
M. Levy +18 more
semanticscholar +1 more source
Some results related with Berezin symbols and Toeplitz operators
, 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
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
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