Results 31 to 40 of about 185 (65)
A Berezin-type map and a class of weighted composition operators
Concrete Operators, 2017 In this paper we consider the map L defined on the Bergman space La2(+)$L_a^2({{\rm\mathbb{C}}_{\rm{ + }}})$ of the right half plane ℂ+ by (Lf)(w)=πM′(w)∫+(fM′)(s)|bw(s)|2dA˜(s)$(Lf)(w) = \pi M'(w)\int\limits_{{{\rm\mathbb{C}}_{\rm{ + }}}} {\left( {{f \
Das Namita
doaj +1 more source
Small Hankel operators on Dirichlet-type spaces and applications
, 2016 In this paper, we characterize the boundedness and compactness of small Hankel operators on Dirichlet-type spaces Dρ . Mathematics subject classification (2010): 47B35, 30H99.
Zengjian Lou, R. Qian
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
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
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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
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A transmission problem for the Helmholtz equation with higher order boundary conditions
, 2015 The present paper deals with some properties for certain classes of Wiener-Hopf operators associated with a wave diffraction problem. This diffraction problem is mathematically modeled by the Helmholtz equation and higher order boundary conditions on an ...
Alberto Simões
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On the weak limit of compact operators on the reproducing kernel Hilbert space and related questions
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 By applying the so-called Berezin symbols method we prove a Gohberg- Krein type theorem on the weak limit of compact operators on the non- standard reproducing kernel Hilbert space which essentially improves the similar results of Karaev [5]: We also in ...
Saltan Suna
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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
Hyponormality of Toeplitz operators with polynomial symbols on the vector valued Bergman space
, 2018 We arrive at a necessary condition and a sufficient condition for the hyponormal block Toeplitz operator TF+G∗ on the vector valued Bergman space La(D,C n) , where F and G are matrix valued analytic polynomials.
P. Cui, Yufeng Lu, Yanyue Shi
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