Weighted composition operators from the Bloch space tonth weighted-typespaces

Abstract

In this work, we characterize the boundedness of weighted composition operators from the Bloch space and the little Bloch space to n th weighted-type spaces. Some estimates for the essential norm of these operators are also given. As a corollary, we obtain some characterizations for the compactness of weighted composition operators from the Bloch space and the little Bloch space to n th weighted-type spaces.

Generalized Stević–Sharma type operators from Hardy spaces into nth weighted type spaces

“…Let α > 0 . Then W (1) (1−|z| 2 ) α = B α (Bloch type space), W (2) (1−|z| 2 ) α = Z α (Zygmund type space) and W µ = Z µ (weighted Zygmund space). For more information about Bloch type spaces or Zygmund type spaces see [8,15,16].…”

Weighted Composition Operators from Derivative Hardy Spaces into n -th Weighted-Type Spaces

“…Furthermore, when μ(z) � (1 − |z| 2 ), B μ � B is the Bloch space and Z μ � Z is the Zygmund space. For some results on the space W n μ , see references [2,[8][9][10][11][12][13].…”

“…In [12], Stević studied the boundedness and compactness of weighted composition operators from H ∞ and the Bloch space to W n μ . See references [8][9][10] for more characterizations for weighted composition operators from H ∞ and the Bloch space to W n μ . In [16], Zhu and Du studied the boundedness, compactness, and essential norm of weighted composition operators from weighted Bergman spaces with doubling weight A p ω to W n μ .…”

Toeplitz-Superposition Operators on Analytic Bloch Spaces

“…Numerous intensive studies on analytic Bloch-type spaces are researched in literature (see [1][2][3][4][5] and others).…”