scholarly journals A sharp version of commutator theorem for the real method of interpolation

2018 ◽  
Vol 147 (2) ◽  
pp. 711-725
Author(s):  
Sergey V. Astashkin
Keyword(s):  
The Real ◽  
Commutator Theorem ◽  
Real Method ◽  
Sharp Version

scholarly journals Interpolation between L∞and H1, the real method

1973 ◽  
Vol 14 (4) ◽  
pp. 401-409 ◽  
Author(s):  
N.M Riviere ◽  
Y Sagher
Keyword(s):  
The Real ◽  
Real Method

The real method

1986 ◽  
pp. 18-32
Author(s):  
Sten Kaijser ◽  
Joan Wick Pelletier
Keyword(s):  
The Real ◽  
Real Method

Extreme Estimates for Interpolated Operators by the Real Method

1999 ◽  
Vol 60 (3) ◽  
pp. 860-870 ◽  
Author(s):  
Fernando Cobos ◽  
Antón Martínez
Keyword(s):  
The Real ◽  
Real Method

scholarly journals Interpolation between $H\sp{p}$ spaces: the real method

1974 ◽  
Vol 191 ◽  
pp. 75-75
Author(s):  
C. Fefferman ◽  
N. M. Rivière ◽  
Y. Sagher
Keyword(s):  
The Real ◽  
Real Method

scholarly journals Commutators in real interpolation with quasi-power parameters

2002 ◽  
Vol 7 (5) ◽  
pp. 239-257 ◽  
Author(s):  
Ming Fan
Keyword(s):  
Function Spaces ◽  
Higher Order ◽  
Real Interpolation ◽  
Hardy Inequalities ◽  
Commutator Estimates ◽  
The Real ◽  
Interpolation Methods ◽  
Commutator Theorem

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 real interpolation methods.

Some reiteration results for interpolation methods defined by means of polygons

2008 ◽  
Vol 138 (6) ◽  
pp. 1179-1195 ◽  
Author(s):  
Fernando Cobos ◽  
Luz M. Fernández-Cabrera ◽  
Joaquim Martín
Keyword(s):  
Banach Algebras ◽  
Function Spaces ◽  
Linear Operators ◽  
Bounded Linear Operators ◽  
Bounded Linear ◽  
The Real ◽  
Interpolation Methods ◽  
Real Method

We continue the research on reiteration results between interpolation methods associated to polygons and the real method. Applications are given to N-tuples of function spaces, of spaces of bounded linear operators and Banach algebras.

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