The spaces of boundary values of vector-valued functions in Hardy spaces defined by either
holomorphic functions on the disk or harmonic functions with maximal function in L p are …

Let φ be an analytic self-map of the unit disk. The weak compactness of the composition
operators Cφ: f↦ fo φ is characterized on the vector-valued harmonic Hardy spaces h1 (X) …

It is shown that for any Banach space $ B $ every positive $ p $-summing operator from
${L^{p'}}(\mu) $ in $ B $, $1/p+ 1/p'= 1$, is also cone absolutely summing. We also prove …

In this paper we study a class of operators from a Banach lattice $ X $ into a Banach space $
B $. These operators map positive sequences in $ weak-l^ p $-spaces with values in $ X …

Let φ be an analytic map from the unit disk into itself, X a complex infinite-dimensional
Banach space and 2≤ p<∞. It is shown that the composition operator Cφ: f↦ f○ φ is …

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 …

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 present paper, we introduce a new concept of positive p-majorizing operators as a
dual notion of positive p-summing operators and generalize the concept of majorizing …