scholarly journals A functional calculus description of real interpolation spaces for sectorial operators

2005 ◽  
Vol 171 (2) ◽  
pp. 177-195 ◽  
Author(s):  
Markus Haase
Keyword(s):  
Functional Calculus ◽  
Real Interpolation ◽  
Interpolation Spaces ◽  
Sectorial Operators

scholarly journals The absolute functional calculus for sectorial operators

2005 ◽  
Author(s):  
◽  
Tamara Kucherenko
Keyword(s):  
Functional Calculus ◽  
Maximal Regularity ◽  
Real Interpolation ◽  
Future Research ◽  
Interpolation Spaces ◽  
Holomorphic Functional Calculus ◽  
Sectorial Operators ◽  
The Common ◽  
The Absolute ◽  
Key Theorem

We introduce the absolute functional calculus for sectorial operators. This notion is stronger than the common holomorphic functional calculus. We are able to improve a key theorem related to the maximal regularity problem and hence demonstrate the power and usefulness of our new concept. In trying to characterize spaces where sectorial operators have absolute calculus, we find that certain real interpolation spaces play a central role. We are then extending various known results in this setting. The idea of unifying theorems about sectorial operators on real interpolation spaces permeates our work and opens paths for future research on this subject.

scholarly journals Functional Calculus on Real Interpolation Spaces for the Series Generators of C_0-groups

2019 ◽  
Vol 11 (5) ◽  
pp. 52
Author(s):  
Simon Joseph ◽  
Manal Juma ◽  
Isra Mukhtar ◽  
Nagat Suoliman ◽  
Fatin Saeed
Keyword(s):  
Banach Space ◽  
Functional Calculus ◽  
Real Interpolation ◽  
Interpolation Spaces ◽  
Transference Principle

In this paper, discus functional calculus properties of C_0-groups on real interpolation spaces using transference principles. Obtain interpolation versions of the classical transference principle for bounded groups and of a recent transference principle for unbounded groups. Then showed in (Markus, H., & Jan, R. 2016) that all group sequence of generators on a Banach space has a bounded H_0^∞-calculus on real interpolation spaces. Additional results are derived from this.

scholarly journals Paley-Littlewood decomposition for sectorial operators and interpolation spaces

2016 ◽  
Vol 289 (11-12) ◽  
pp. 1488-1525 ◽  
Author(s):  
Christoph Kriegler ◽  
Lutz Weis
Keyword(s):  
Interpolation Spaces ◽  
Sectorial Operators

Ultraproducts of real interpolation spaces between Lp-spaces

2006 ◽  
Vol 37 (2) ◽  
pp. 191-216 ◽  
Author(s):  
J. A. López Molina ◽  
M. E. Puerta ◽  
M. J. Rivera
Keyword(s):  
Real Interpolation ◽  
Interpolation Spaces ◽  
Lp Spaces

scholarly journals H ∞-functional calculus and models of Nagy–Foiaş type for sectorial operators

2010 ◽  
Vol 351 (3) ◽  
pp. 733-760 ◽  
Author(s):  
José E. Galé ◽  
Pedro J. Miana ◽  
Dmitry V. Yakubovich
Keyword(s):  
Functional Calculus ◽  
Sectorial Operators
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