Sharp pointwics estimate for Fock spaces
Friedrich Haslinger, David Kalaj, Djordjije Vujadinovic

TL;DR
This paper derives sharp pointwise estimates for derivatives of functions in Fock spaces, including specific results for the Hilbert case and analysis of differential operators between different Fock spaces.
Contribution
It provides new sharp pointwise estimates for derivatives in Fock spaces and explores differential operators and their adjoints between these spaces.
Findings
Sharp derivative estimates for Fock space functions.
Specialized estimates in the Hilbert space case.
Analysis of differential operators between Fock spaces.
Abstract
Firstly we establish a sharp pointwise estimate for the arbitrary derivative of the function where denotes the Fock space for Then, in a particular Hilbert case when we establish another specific pointwise sharp estimate. We also consider the differential operator between and for and its adjoint.
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Taxonomy
TopicsHolomorphic and Operator Theory · Advanced Harmonic Analysis Research · Mathematical Analysis and Transform Methods
