Operator Theory In Harmonic Fock Space

Posted on:2021-08-23

Degree:Master

Type:Thesis

Country:China

Candidate:X Chen

Full Text:PDF

GTID:2480306194490764

Subject:Basic mathematics

Abstract/Summary:

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In this paper,we study the structure of harmonic Fock space on the basis of analytic Fock space.Firstly,we calculate the orthonormal basis of space,reproduce kernel,integration form of orthogonal projection and dual space of harmonic Fock space.Secondly,we estimate the value of functions and obtain extremal funtions.Moreover,we discuss the relations among different harmonic Fock Spaces.Finally,we calculate the atomic decomposition in harmonic Fock space.

Keywords/Search Tags:

Harmonic Fock Space, Reproducing kernel, Projection operator, The extremal functions, Atomic decomposition

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