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arXiv · 1909.04975

Sharp pointwics estimate for Fock spaces

Friedrich Haslinger·David Kalaj·Djordjije Vujadinovic
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Abstract

Firstly we establish a sharp pointwise estimate for the arbitrary derivative of the function $f\in F_{\alpha}^{p},$ where $F_{\alpha}^{p}$ denotes the Fock space for $1\leq p<\infty.$ Then, in a particular Hilbert case when $p=2$ we establish another specific pointwise sharp estimate. We also consider the differential operator between $F_{\alpha}^{p}$ and $F_{\beta}^{p}$ for $\beta>\alpha$ and its adjoint.

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Friedrich Haslinger, David Kalaj, Djordjije Vujadinovic. 2019-09-11. Sharp pointwics estimate for Fock spaces. https://arxiv.org/abs/1909.04975

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