Notes on limits of Sobolev spaces and the continuity of interpolation scales
M Milman - Transactions of the American Mathematical Society, 2005 - ams.org
We extend lemmas by Bourgain-Brezis-Mironescu (2001), and Maz'ya-Shaposhnikova
(2002), on limits of Sobolev spaces, to the setting of interpolation scales. This is achieved by …
(2002), on limits of Sobolev spaces, to the setting of interpolation scales. This is achieved by …
On the stability of the differential process generated by complex interpolation
JMF Castillo, WHG Corrêa, V Ferenczi… - Journal of the Institute …, 2022 - cambridge.org
We study the stability of the differential process of Rochberg and Weiss associated with an
analytic family of Banach spaces obtained using the complex interpolation method for …
analytic family of Banach spaces obtained using the complex interpolation method for …
Interpolation of compact operators: the multidimensional case
F Cobos, J Peetre - Proceedings of the London Mathematical …, 1991 - Wiley Online Library
We investigate how compact operators behave under J and K interpolation methods for N
spaces and two parameters. First we study those methods: relationship with those already …
spaces and two parameters. First we study those methods: relationship with those already …
Interpolation of 2d Banach Spaces and the Calderón Spaces X(E)
DL Fernandez - Proceedings of the London Mathematical …, 1988 - Wiley Online Library
We show that the equivalence of the K and J methods of interpolation for 2d Banach spaces
holds in the case of the Calderón spaces X (E). Consequently, the reiteration theorem also …
holds in the case of the Calderón spaces X (E). Consequently, the reiteration theorem also …
On equivalence of K-and J-methods for (n+ 1)-tuples of Banach spaces
I Asekritova, N Krugljak - Studia Mathematica, 1997 - infona.pl
It is shown that the main results of the theory of real interpolation, ie the equivalence and
reiteration theorems, can be extended from couples to a class of (n+ 1)-tuples of Banach …
reiteration theorems, can be extended from couples to a class of (n+ 1)-tuples of Banach …
Lions-Peetre reiteration formulas for triples and their applications
I Asekritova, N Kruglyak, L Maligranda… - Studia …, 2001 - diva-portal.org
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8k# ci 5hYg3 C! 9ich3m f'9mt i 9i (f3ici GE {5} G'o 9ici fjg fj df'f'gip f3i f% f rh BI f3kP f'x f3ici …
[PDF][PDF] Extrapolation: stories and problems
S Astashkin, M Milman - arXiv preprint arXiv:2004.03655, 2020 - arxiv.org
arXiv:2004.03655v1 [math.FA] 7 Apr 2020 Page 1 arXiv:2004.03655v1 [math.FA] 7 Apr 2020
EXTRAPOLATION: STORIES AND PROBLEMS SERGEY ASTASHKIN AND MARIO MILMAN …
EXTRAPOLATION: STORIES AND PROBLEMS SERGEY ASTASHKIN AND MARIO MILMAN …
On interpolation of function spaces by methods defined by means of polygons
F Cobos, J Martín - Journal of approximation theory, 2005 - Elsevier
On interpolation of function spaces by methods defined by means of polygons Page 1 Journal
of Approximation Theory 132 (2005) 182 – 203 www.elsevier.com/locate/jat On interpolation …
of Approximation Theory 132 (2005) 182 – 203 www.elsevier.com/locate/jat On interpolation …
Norm estimates for interpolation methods defined by means of polygons
F Cobos, P Fernandezmartinez, T Schonbek - Journal of Approximation …, 1995 - Elsevier
Defined by Means of Polygons Page 1 JOURNAL or APPROXIMATION rmzoav 80, 32l~35l (
I995) Norm Estimates for Interpolation Methods Defined by Means of Polygons FERNANDO …
I995) Norm Estimates for Interpolation Methods Defined by Means of Polygons FERNANDO …
Complex interpolation of quasi-Banach spaces with an A-convex containing space
A Bernal, J Cerda - Arkiv för Matematik, 1991 - projecteuclid.org
Complex interpolation of general couples (X0, X1) of quasi-Banach spaces has been
considered by several authors [8],[11],[16]. The first approach was made by Rivi6re in his …
considered by several authors [8],[11],[16]. The first approach was made by Rivi6re in his …