Some reiteration results for interpolation methods defined by means of polygons

F Cobos, LM Fernández-Cabrera… - Proceedings of the Royal …, 2008 - cambridge.org
Some reiteration results for interpolation methods defined by means of polygons Page 1
Proceedings of the Royal Society of Edinburgh, 138A, 1179–1195, 2008 Some reiteration …

Interpolation methods defined by means of polygons and compact operators

LM Fernandez-Cabrera, A Martinez - Proceedings of the Edinburgh …, 2007 - cambridge.org
We work with interpolation methods for-tuples of Banach spaces associated with polygons.
We compare necessary conditions for interpolating closed operator ideals with conditions …

[PDF][PDF] Reiteration and a Wolff theorem for interpolation methods defined by means of polygons

F Cobos, P Fernández-Martínez - Studia Math., 1992 - matwbn.icm.edu.pl
We prove a reiteration theorem for interpolation methods defined by means of polygons, and
a Wolff theorem for the case when the polygon has 3 or 4 vertices. In particular, we establish …

A relation between two interpolation methods

E Hernández - Interpolation Spaces and Allied Topics in Analysis …, 2006 - Springer
In the space of the last five years, several authors have developed a method of interpolation
for families of Banach spaces that generalizes the complex interpolation method of AP …

Real interpolation with logarithmic functors and reiteration

WD Evans, B Opic - Canadian Journal of Mathematics, 2000 - cambridge.org
We present “reiteration theorems” with limiting values θ= 0 and θ= 1 for a real interpolation
method involving broken-logarithmic functors. The resulting spaces lie outside of the original …

Reiteration formulae for interpolation methods associated to polygons

F Cobos, C Richter, T Ullrich - Journal of mathematical analysis and …, 2009 - Elsevier
We study spaces generated by applying the interpolation methods defined by a polygon Π to
an N-tuple of real interpolation spaces with respect to a fixed Banach couple {X, Y}. We …

Reiteration theorems for real interpolation and approximation spaces

P Nilsson - Annali di Matematica Pura ed Applicata, 1982 - Springer
Reiteration theorems for real interpolation and approximation spaces Page 1 Reiteration
Theorems for Real Interpolation and Approximation Spaces (*). PEa NZLSSO~ (Lnnd, Svezia) …

A duality theorem for interpolation methods associated to polygons

F Cobos, P Fernández-Martínez - Proceedings of the American …, 1994 - ams.org
We investigate dual spaces of interpolation spaces defined by means of polygons. We first
show that dual spaces may fail to be intermediate spaces with respect to the dual N-tuple …

Computational aspects of polynomial interpolation in several variables

C De Boor, A Ron - Mathematics of Computation, 1992 - ams.org
The pair $\langle\Theta, P\rangle $ of a point set $\Theta\subset {\mathbb {R}^ d} $ and a
polynomial space P on ${\mathbb {R}^ d} $ is correct if the restriction map $ P\to {\mathbb …

Interpolation of several Banach spaces

G Sparr - Annali di Matematica Pura ed Applicata, 1974 - Springer
Interpolation of several banach spaces Page 1 Interpolation of Several Banach Spaces. Gu~NA~
SPA~ (Land)(*) Summary. - Peetre's K- and J.methods for interpolation are extended to the …