3 papers
math.FA2024
Hilbertian Hardy-Sobolev spaces on a half-plane
José E. Galé, Valentin Matache, Pedro J. Miana +1
In this paper we deal with a scale of reproducing kernel Hilbert spaces , , which are linear subspaces of the classical Hilbertian Hardy space on the right-hand…
math.FA2024
RKH spaces of Brownian type defined by Cesàro-Hardy operators
José E. Galé, Pedro J. Miana, Luis Sánchez--Lajustici
We study reproducing kernel Hilbert spaces introduced as ranges of generalized Cesàro-Hardy operators, in one real variable and in one complex variable. Such spaces can be seen as…
math.FA2013
Sharp extensions for convoluted solutions of abstract Cauchy problems
Valentin Keyantuo, Pedro J. Miana, Luis Sánchez-Lajusticia
In this paper we give sharp extension results for convoluted solutions of abstract Cauchy problems in Banach spaces. The main technique is the use of algebraic structure (for usual…