Complex interpolation functors with a family of quasi-power function parameters
نویسندگان
چکیده
منابع مشابه
Commutators in Real Interpolation with Quasi-power Parameters
The basic higher order commutator theorem is formulated for the real interpolation methods associated with the quasi-power parameters, that is, the function spaces on which Hardy inequalities are valid. This theorem unifies and extends various results given by Cwikel, Jawerth, Milman, Rochberg, and others, and incorporates some results of Kalton to the context of commutator estimates for the re...
متن کاملReal Interpolation with Logarithmic Functors
We present a real interpolation method involving broken-logarithmic functors. We obtain a variety of interpolation theorems for quasilinear operators on quasi-Banach spaces, including limiting cases. We present a number of Holmstedt's formulae corresponding to the broken-logarithmic functors and apply these to obtain reiteration theorems for interpolation and extrapolation spaces. We compare th...
متن کاملInterpolation Functors and Banach Couples
The theory of interpolation spaces originally arose from an attempt to generalize the classical interpolation theorems of M. Riesz and Marcinkiewicz to a more abstract setting. However it should more correctly be described as a theory of "families" of abstract spaces : Given a number of (usually two) spaces contained in a common "large" space, we try to find as many "families" of new such space...
متن کاملA Family of Acyclic Functors
(1) find colim-acyclic objects in Ab. Here, Ab denote the category of abelian groups and Ab denote the (abelian) functor category for the small category C. The functor colim : Ab → Ab is the direct limit functor and F ∈ Ab is colim-acyclic if colimi F = 0 for i ≥ 1 (see [16] and [5], and the classical books of Cartan and Eilenberg [2] and of MacLane [13]). It is clear that if F is projective th...
متن کاملQuasi-Frobenius functors with application to corings
Müller generalized in [12] the notion of a Frobenius extension to left (right) quasi-Frobenius extension and proved the endomorphism ring theorem for these extensions. Recently, Guo observed in [9] that for a ring homomorphism φ : R → S, the restriction of scalars functor has to induction functor S ⊗R − : RM → SM as right ”quasi” adjoint if and only if φ is a left quasi-Frobenius extension. In ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Studia Mathematica
سال: 1994
ISSN: 0039-3223,1730-6337
DOI: 10.4064/sm-111-3-283-305