11 citations · 11 across the 5 of their papers we have counts for
7 papers
Weighted Hardy Inequalities for Nested Averages
Ludovick Bouthat, Pierre-Olivier Parisé
We study a family of Hardy-type inequalities for weighted averages over nested subsets of a measure space. Given a partition of a measure space and a weight function , we consid…
Involutions of Bicomplex Numbers
Pierre-Olivier Parisé
An involution of a real commutative algebra is a real-linear homomorphism such that . We show that there are six involutions of the alg…
Power-series summability methods in de Branges-Rovnyak spaces
Javad Mashreghi, Pierre-Olivier Parisé, Thomas Ransford
We show that there exists a de Branges-Rovnyak space on the unit disk containing a function with the following property: even though can be approximated by…
Cesàro summability of Taylor series in weighted Dirichlet spaces
Javad Mashreghi, Pierre-Olivier Parisé, Thomas Ransford
We show that, in every weighted Dirichlet space on the unit disk with superharmonic weight, the Taylor series of a function in the space is -summable to the function in the…
Failure of Approximation of Odd Functions by Odd Polynomials
Javad Mashreghi, Pierre-Olivier Parisé, Thomas Ransford
We construct a Hilbert holomorphic function space on the unit disk such that the polynomials are dense in , but the odd polynomials are not dense in the odd functions in …
Tricomplex dynamical systems generated by polynomials of even degree
Pierre-Olivier Parisé, Thomas Ransford, Dominic Rochon
In this article, we give the exact interval of the cross section of the Multibrot sets generated by the polynomial where and are complex numbers and is a…
Tricomplex dynamical systems generated by polynomials of odd degree
Pierre-Olivier Parisé, Dominic Rochon
In this article, we give the exact interval of the cross section of the Multibrot sets generated by the polynomial where and are complex numbers and is an o…