G. Curbera

most citedInversion and extension of the finite Hilbert transform on (-1,1)

7 citations · 7 across the 1 of their papers we have counts for

collaborators

3 papers

math.FA2020

Rosenthal's space revisited

Sergey V. Astashkin, Guillermo P. Curbera

Let $E$ be a rearrangement invariant (r.i.) function space on $[0, 1]$ , and let $Z_{E}$ consist of all measurable functions $f$ on $(0, \infty)$ such that $f^{*} χ_{[0, 1]} \in E$ and $f^*χ…

math.FA2019

Fine spectra of the finite Hilbert transform in function spaces

Guillermo P. Curbera, Susumu Okada, Werner J. Ricker

We investigate the spectrum and fine spectra of the finite Hilbert transform acting on rearrangement invariant spaces over $(- 1, 1)$ with non-trivial Boyd indices, thereby extending…

math.FA2019★ 7 cited

Inversion and extension of the finite Hilbert transform on (-1,1)

Guillermo P. Curbera, Susumu Okada, Werner J. Ricker

The principle of optimizing inequalities, or their equivalent operator theoretic formulation, is well established in analysis. For an operator, this corresponds to extending its ac…