Let (A0, A1) and (B0, B1) be couples of quasi-Banach spaces and let T be a linear operator.
We prove that if T: A0→ B0 is compact and T: A1→ B1 is bounded, then T:(A0, A1) θ, q→(B0 …

Let A0 and A1 be quasi-Banach spaces with A0↩→ A1. By means of a direct approach, we
show that the interpolation spaces on (A0, A1) generated by the function parameter tθ (1+ …

Abstract Let Aj, Bj be complex B‐spaces, j= 0, 1, Aθ and Bθ–the complex‐interpolation
spaces generated by the couples (A0, A1) and (B0, B1), resp., by CALDERON'S/LIONS'S …

Interpolation of compact bilinear operators among quasi‐Banach spaces and applications -
Cobos - 2018 - Mathematische Nachrichten - Wiley Online Library Skip to Article Content Skip …

ON THE CONNECTION BETWEEN REAL AND ‘COMPLEX INTERPOLATION OF QUASI-BANACH
SPACES (*) JAAK PEETRE and 0. Introduction Among the Page 1 Bull. Sci. math. 1998, 122 …

We give embeddings theorems for some quasi-Banach spaces constructed from couples of
certain quasi-Banach spaces by the use of interpolation functors defined on the class of all …

0. Introduction. In the last few years, R. Coifman, M. Cwikel, R. Rochberg, Y. Sagher and G.
Weiss have developed a method of interpolation for families o Banach spaces that …

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 …

We prove that if T: A 0→ B 0 is compact and T: A 1→ B 1 is compact (or T: A 1→ B 1 is
bounded and, then given any θ and q with 0< θ< 1 and 0< q⩽∞, it follows that T:(A 0, A 1) 0 …

We characterize compact operators between complex interpolation spaces and between
spaces obtained by using certain minimal methods in the sense of Aronszajn and Gagliardo …