Higher order derivatives of analytic families of Banach spaces

FC Sánchez, JMF Castillo, WHG Corrêa - arXiv preprint arXiv:1906.06677, 2019 - arxiv.org
We show that the Rochberg spaces induced by complex interpolation form themselves
complex interpolation scales, obtain the interpolated spaces and associated derivations. We …

On Blaschke products with derivatives in Bergman spaces with normal weights

A Aleman, D Vukotić - Journal of mathematical analysis and applications, 2010 - Elsevier
We generalize a well-known sufficient condition for interpolating sequences for the Hilbert
Bergman spaces to other Bergman spaces with normal weights (as defined by Shields and …

The Fock space as a de Branges–Rovnyak space

D Alpay, F Colombo, I Sabadini - Integral Equations and Operator Theory, 2019 - Springer
We show that de Branges–Rovnyak spaces include as special cases a number of spaces,
such as the Hardy space, the Fock space, the Hardy–Sobolev space and the Dirichlet space …

Complex interpolation and twisted twisted Hilbert spaces

F Cabello Sanchez, J Castillo, N Kalton - Pacific Journal of Mathematics, 2015 - msp.org
We show that Rochberg's generalized interpolation spaces X (n) arising from analytic
families of Banach spaces form exact sequences 0→ X (n)→ X (n+ k)→ X (k)→ 0. We study …

[HTML][HTML] Limiting interpolation spaces via extrapolation

SV Astashkin, KV Lykov, M Milman - Journal of Approximation Theory, 2019 - Elsevier
We give a complete characterization of limiting interpolation spaces for the real method of
interpolation using extrapolation theory. For this purpose the usual tools (eg, Boyd indices or …

Integration type operators and point evaluation on weighted Bergman spaces of Dirichlet series

C Gómez-Cabello, P Lefèvre, H Queffélec - arXiv preprint arXiv …, 2024 - arxiv.org
The theory of Banach spaces of Dirichlet series has drawn an increasing attention in the
recent 25 years. One of the main interest of this new theory is that of defining analogues of …

[引用][C] Interpolating sequences for Besov spaces

B Böe - Journal of Functional Analysis, 2002 - Elsevier
Interpolating Sequences for Besov Spaces Page 1 Journal of Functional Analysis 192, 319–341
(2002) doi:10.1006/jfan.2002.3905 Interpolating Sequences for Besov Spaces Bjarte B.oe …

Complex Interpolation and Regular Operators Between Banach

G Pisier - arXiv preprint math/9306207, 1993 - arxiv.org
We study certain interpolation and extension properties of the space of regular operators
between two Banach lattices. Let $ R_p $ be the space of all the regular (or equivalently …

[图书][B] Interpolation of operators

C Bennett, RC Sharpley - 1988 - books.google.com
This book presents interpolation theory from its classical roots beginning with Banach
function spaces and equimeasurable rearrangements of functions, providing a thorough …

Complex interpolation of Orlicz sequence spaces and its higher order Rochberg spaces

WHG Corrêa - arXiv preprint arXiv:2105.11238, 2021 - arxiv.org
We show that if $(\ell_ {\phi_0},\ell_ {\phi_1}) $ is a couple of suitable Orlicz sequence
spaces then the corresponding Rochberg derived spaces of all orders associated to the …