@article{Al-Ahmadi2023, 
author = {Aydah Mohammed Ayed Al-Ahmadi},
title = {Differences weighted composition operators acting between kind of weighted Bergman-type spaces and the Bers-type space -I-},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {7},
pages = {16240-16251},
keywords = {weighted composition operator, compact difference bounded operator, weighted analytic space},
url = {https://www.sciopen.com/article/10.3934/math.2023831},
doi = {10.3934/math.2023831},
abstract = {Let        O    (      D    ) denote the class of all analytic or holomorphic functions on the open unit disk        D   of        C  . Let    φ and    ψ are an analytic self-maps of        D   and    u  ,  v  ∈      O    (      D    )  . The difference of two weighted composition operators is defined by         T          φ      ,      ψ        f  (  z  )  :=      (        W          φ      ,            u        f  −      W          ψ      ,            v        f      )    (  z  )  =  u  (  z  )  (  f  ∘  φ  )  (  z  )  −  v  (  z  )  (  f  ∘  ψ  )  (  z  )  ,    f  ∈      O    (      D    )        and      z  ∈      D    .The boundedness and compactness of the differences of two weighted composition operators from              H              α        ∞    (      D    ) spaces into              N              K        (      D    ) spaces (resp. from              N              K        (      D    ) into              H              α        ∞    (      D    )) are investigate in this paper.}
}