J. Oliva-Maza

activity

20192024

collaborators

3 papers

math.FA2024

Universality arising from invertible weighted composition operators

Luciano Abadías, F. Javier González-Doña, Jesús Oliva-Maza

A linear operator $U$ acting boundedly on an infinite-dimensional separable complex Hilbert space $H$ is universal if every linear bounded operator acting on $H$ is similar to a sc…

math.AP2022

Introducing and solving generalized Black-Scholes PDEs through the use of functional calculus

Jesús Oliva-Maza, Mahamadi Warma

We introduce some families of generalized Black--Scholes equations which involve the Riemann-Liouville and Weyl space-fractional derivatives. We prove that these generalized Black-…

math.FA2019

Generalized Stieltjes and other integral operators on Sobolev-Lebesgue spaces

Pedro J. Miana, Jesús Oliva-Maza

For $μ > β > 0$ , the generalized Stieltjes operators $S_{β, μ} f (t) := t^{μ - β} \int_{0}^{\infty} \frac{s ^{β - 1}}{( s + t ) ^{μ}} f (s) d s, t > 0,$ defined on Sobolev spaces $\mathcal{…