@article{Jiang2026, 
author = {Zhi-jie Jiang},
title = {Some more generalized integration operators on general function spaces},
year = {2026},
journal = {AIMS Mathematics},
volume = {11},
number = {6},
pages = {16129-16143},
keywords = {F(p, q, s) space, integration operator, boundedness, compactness},
url = {https://www.sciopen.com/article/10.3934/math.2026663},
doi = {10.3934/math.2026663},
abstract = {Let    H  (            D        ) be the class of all analytic functions on        D   and              h      →        =  (      h    0    ,      h    1    ,  …  ,      h          n      −      1        ) with        h    k    ∈  H  (            D        ) for    k  =  0  ,  1  ,  …  ,  n  −  1. In this paper, we study a complex integration operator                       (                  T                                                    h                →                                                          (            n            )                          f        )        (        z        )        =                  I          n                          (                          h          0                      (            n            )                          f        +                  h                      1                                (            n            −            1            )                                    f          ′                +        ⋯        +                  h                      n            −            1                    ′                          f                      (            n            −            1            )                                    )                (        z        )        ,                                f        ∈        H        (                              D                          )        ,            where    I is the classical integration operator     (  I  f  )  (  z  )  =      ∫          0        z    f  (  w  )  d  wand        I    n   is the    nth iteration of    I. We characterize the bounded and compact operators        T                            h          →                            (      n      )       on    F  (  p  ,  q  ,  s  ) by using some characterizations of the space.}
}