In this article, we study the boundedness of weighted composition operators between
different vector-valued Dirichlet spaces. Some sufficient and necessary conditions for such …

WEIGHTED COMPOSITION OPERATORS ON WEAK VECTOR-VALUED BERGMAN
SPACES AND HARDY SPACES 1. Introduction Let D be the open unit disk Page 1 Banach J …

In this paper, we completely characterize the boundedness of difference of weighted
composition operators between weak and strong vector-valued Bergman spaces in three …

Several properties of weighted composition operators acting between weighted spaces of
analytic functions with values on a Banach space are characterized. These results are …

In this paper, we are interested in the Stević-Sharma operator on the spaces of vector-
valued holomorphic functions, which has never been considered so far. We completely …

In the setting of the standard weighted Bergman spaces over the unit disk, compactness
characterizations for linear combinations of composition operators have been known. One of …

In this paper, we focus on Carleson embeddings from Bergman spaces A p into L p (μ),
where μ is a positive measure on the unit disk. We describe when this injection is r-summing …

For a fixed nonnegative integer $ m $, an analytic map $\varphi $ and an analytic function
$\psi $, the generalized integration operator $ I^{(m)} _ {\varphi,\psi} $ is defined by\[I^{(m)} …

Let ϕ ϕ be an analytic map from the unit disk into itself, 1< p< 2 1< p< 2 and 1 ≤ q ≤ p 1≤
q≤ p. It is shown that the composition operator C_ ϕ (f)= f ∘ ϕ C ϕ (f)= f∘ ϕ is bounded from …

Let $2\leq p<\infty $ and $ X $ be a complex infinite-dimensional Banach space. It is proved
that if $ X $ is $ p $-uniformly PL-convex, then there is no nontrivial bounded Volterra …