3 citations · 10 across the 34 of their papers we have counts for
43 papers
Sharp weighted norm estimates for the positive Bergman operator: the two-parameter case
Benoit F. Sehba
We allow the exponent that defines the positive Bergman operator on the upper half-plane to differ from the exponent that defines the underlying weighted Lebesgue spaces. I…
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…
On some inequalities for weighted products and ratios of the sine function
Augustine L. Mahu, Benoît F. Sehba, Cecilia D. Williams
We introduce a reflection-substitution technique for sine inequalities that yields, via Hölder's inequality and its reverse, distinct upper bounds for products and lower…
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…
Weighted Product Inequalities for the Sine Function: A Gamma-Function Approach and Sharp Comparisons
Augustine L. Mahu, Benoît F. Sehba, Cecilia D. Williams
Using the log-convexity of the Gamma function and Euler's reflection formula, we give a new proof of a classical weighted sine product inequality. Two different parameter choices y…
Some equivalent definitions for weighted Korenblum and Bloch-type spaces of the upper half-plane
Benoit F. Sehba
In this paper, we prove some equivalent characterizations of weighted Korenblum spaces and Bloch spaces in terms of symbols of bounded Hankel operators.