P. Miana

most citedOn the boundedness of generalized Cesàro operators on Sobolev spaces

3 citations · 3 across the 4 of their papers we have counts for

collaborators

4 papers

math.FA2013★ 3 cited

On the boundedness of generalized Cesàro operators on Sobolev spaces

Carlos Lizama, Pedro J. Miana, Rodrigo Ponce +1

For $β > 0$ and $p \geq 1$ , the generalized Cesàro operator $C_{β} f (t) := \frac{β}{t ^{β}} \int_{0}^{t} (t - s)^{β - 1} f (s) d s$ and its companion operator $C_{β}^{*}$ defined on Sobol…

math.FA2013

Sharp extensions for convoluted solutions of wave equations

Pedro J. Miana, Verónica Poblete

In this paper we give sharp extensions of convoluted solutions of wave equations in abstract Banach spaces. The main technique is to use the algebraic structure, for convolution pr…

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…

math.AP2012

Extension problem and fractional operators: semigroups and wave equations

J. E. Galé, P. J. Miana, P. R. Stinga

We extend results of Caffarelli--Silvestre and Stinga--Torrea regarding a characterization of fractional powers of differential operators via an extension problem. Our results appl…