7 papers · 1 filter
Factorization and Atomic Decomposition in Hardy-Orlicz Spaces on the Upper Half-Plane with Applications to Hankel Operators
Jean-Marcel Tanoh Dje, Justin Feuto, Benoît F. Sehba
In this work, we establish a strong factorization for Hardy-Orlicz spaces on the upper half-plane. We show that the product of two functions belonging respectively to Hardy-Orlicz…
Sharp weighted norm estimates for the positive Bergman operator: the two-parameter case
Benoit F. Sehba
We prove sharp weak and strong off-diagonal weighted inequalities for the positive Bergman operator on the upper half-plane when the parameter defining the operator is not necessar…
Convexity of the embedding parameter sets of some analytic function spaces
Benoit F. Sehba
In this note, we study the geometric structure of the parameter sets governing continuous embeddings between weighted Bergman-Orlicz spaces. First, for a fixed pair of growth funct…
Some inequalities for the beta function and its ratios
Jean-Marcel T. Dje, Eyram A. K. Schwinger, Benoit F. Sehba
In this paper, we prove some inequalities for the differences and ratios of the beta function.
A two-parameter deformation of the gamma function, associated functions, and some related inequalities
Anton Asare-Tuah, Emmanuel Djabang, Eyram A. K. Schwinger +2
In this paper, we introduce a new two-parameter deformation of the Gamma function that generalizes some existing Gamma-type functions in the literature. We study properties of this…
Global Stein Theorem on Hardy spaces
Aline Bonami, Sandrine Grellier, Benoit Sehba
Let f be an integrable function which has integral 0 on R n. What is the largest condition on |f | that guarantees that f is in the Hardy space H 1 (R n)? When f is compactly suppo…