TY - JOUR
ID - 4132
TI - A class of operator related weighted composition operators between Zygmund space
JO - AUT Journal of Mathematics and Computing
JA - AJMC
LA - en
SN -
AU - Abbasi, Ebrahim
AD - Department of Mathematics&lrm;, &lrm;Mahabad Branch&lrm;, &lrm;Islamic Azad University&lrm;, &lrm;Mahabad&lrm;, &lrm;Iran
Y1 - 2021
PY - 2021
VL - 2
IS - 1
SP - 17
EP - 25
KW - Boundedness
KW - Compactness
KW - essential norm
KW - Zygmund space
DO - 10.22060/ajmc.2020.18833.1041
N2 - Let D be the open unit disk in the complex plane C and H(D) be the set of all analytic functions on D. Let u, v ∈ H(D) and ϕ be an analytic self-map of D. A class of operator related weighted composition operators is defined as follow
Tu,v,ϕf(z) = u(z)f(ϕ(z)) + v(z)f 0 (ϕ(z)), f ∈ H(D), z ∈ D.
In this work, we obtain some new characterizations for boundedness and essential norm of operator Tu,v,ϕ between Zygmund space.
UR - https://ajmc.aut.ac.ir/article_4132.html
L1 - https://ajmc.aut.ac.ir/article_4132_5f4531b1f76a9ff222c31d2ae30cd504.pdf
ER -