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• W1556920379 abstract "We introduce a notion of generalized Triebel-Lizorkin spaces associated with sectorial operators in Banach function spaces. Our approach is based on holo- morphic functional calculus techniques. Using the concept of Rs-sectorial operators, which in turn is based on the notion of Rs-bounded sets of operators introduced by Lutz Weis, we obtain a neat theory including equivalence of various norms and a pre- cise description of real and complex interpolation spaces. Another main result of this article is that an Rs-sectorial operator always has a bounded H ∞ -functional calculus in its associated generalized Triebel-Lizorkin spaces." @default.
• W1556920379 created "2016-06-24" @default.
• W1556920379 creator A5037153475 @default.
• W1556920379 creator A5056308822 @default.
• W1556920379 date "2014-01-01" @default.
• W1556920379 modified "2023-09-27" @default.
• W1556920379 title "Rs-Sectorial Operators and Generalized Triebel-Lizorkin Spaces" @default.
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• W1556920379 hasPublicationYear "2014" @default.
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