The theory of Besov functional calculus: developments and applications to semigroups
We extend and deepen the theory of functional calculus for semigroup generators, based on the algebra <em>B</em> of analytic Besov functions, which we initiated in a previous paper. In particular, we show that our construction of the calculus is optimal in several natural senses. Moreove...
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
| Published: |
Elsevier
2021
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| Summary: | We extend and deepen the theory of functional calculus for semigroup generators, based on the algebra <em>B</em> of analytic Besov functions, which we initiated in a previous paper. In particular, we show that our construction of the calculus is optimal in several natural senses. Moreover, we clarify the structure of <em>B</em> and identify several important subspaces in practical terms. This leads to new spectral mapping theorems for operator semigroups and to wide generalisations of a number of basic results from semigroup theory. |
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