Integral-Type Operators from F(p, q, s) Space to $$\alpha $$ α -Bloch–Orlicz and $$\beta $$ β -Zygmund–Orlicz Spaces

Volterra-type operators from F(p,q,s) space to Bloch-Orlicz and Zygmund-Orlicz spaces

“…Like composition operators, it is known that these type of operators are also appeared in the study of operator theory on holomorphic function spaces. However, it seems that most of papers do not include the estimate for these Volterra-type operators acting from general F(p, q, s) into Bloch (or Zygmund)-Orlicz spaces even on the unit disk D. Motivated by the works in [2,4,10,16], we continue this line of research and extend a number of results on Volterra-type operators.…”

Weighted composition operators on the logarithmic Bloch-Orlicz space

“…In the recent years, the boundedness and compactness of composition operators among different Bloch(-type) spaces were studied (see, e.g., [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17] and the references therein). Moreover, as the study of Hardy-Orlicz space and Bergman-Orlicz space (see, e.g., [8][9][10][11][12][13][14]), the Bloch-Orlicz space B φ was defined as a generalization of B.…”

On Approximation by Linear Combinations of Modified Summation Operators of Integral Type in Orlicz Spaces

“…1 0 f (t)p n,k−1 (t) d t + f (0)p n,0 (z) in compact disks, where p n,k (z) = ( n k )z k (1 − z) n−k . In [8][9][10][11], some approximating properties of integral type operators in complex spaces were established. Vural, Altin, and Yüksel [12] provided weighted approximation and obtained a rate of convergence of Schurer's generalization of the q-Hybrid summation operators of integral type In [13], Govil and Gupta considered the simultaneous approximation for the Stancu-type generalization of certain summation operators of integral type…”