Essential norm of composition operators between weighted Hardy spaces

Composition operators acting on weighted Dirichlet spaces

“…Shapiro (see [22]) that the essential norm of the composition operator C ϕ acting on the Hardy space H 2 equals lim sup [22] or [6,Theorem 3.20]). Concerning the essential norm of C ϕ acting on D α we have the following result (see also [24]). Theorem 3.2.…”

Weighted Composition Operators from Hardy to Zygmund Type Spaces

“…Their boundedness and compactness have been studied on various Banach spaces of analytic functions, such as Hardy, Bergman, BMOA, Bloch-type, and Zygmund spaces; see, for example, [6][7][8][9][10][11]. Also, it has been studied from one Banach space of analytic functions to another; one may see [12][13][14][15][16][17][18][19][20][21][22][23].…”