Discrete bilinear operators and commutators

Arpad Benyi; Tadahiro Oh

doi:10.1007/s12220-022-01136-2

Discrete bilinear operators and commutators

Arpad Benyi^*, Tadahiro Oh

^*Corresponding author for this work

School of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We discuss boundedness properties of certain classes of discrete bilinear operators that are similar to those of the continuous bilinear pseudodifferential operators with symbols in the Hörmander classes BSω1,0. In particular, we investigate their relation to discrete analogues of the bilinear Calderón-Zygmund singular integral operators and show compactness of their commutators.

Original language	English
Article number	102
Number of pages	16
Journal	Journal of Geometric Analysis
Volume	33
Issue number	3
Early online date	12 Jan 2023
DOIs	https://doi.org/10.1007/s12220-022-01136-2
Publication status	Published - 31 Mar 2023

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10.1007/s12220-022-01136-2

BenyiOh_discrete_acceptedAccepted author manuscript, 357 KB

https://arxiv.org/abs/2206.00824

SingStocDispDyn: Singular Stochastic Dispersive Dynamics
Oh, T. (Principal Investigator)
EU government bodies
1/03/20 → 28/02/25
Project: Research

Cite this

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title = "Discrete bilinear operators and commutators",

abstract = "We discuss boundedness properties of certain classes of discrete bilinear operators that are similar to those of the continuous bilinear pseudodifferential operators with symbols in the H{\"o}rmander classes BSω1,0. In particular, we investigate their relation to discrete analogues of the bilinear Calder{\'o}n-Zygmund singular integral operators and show compactness of their commutators.",

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AB - We discuss boundedness properties of certain classes of discrete bilinear operators that are similar to those of the continuous bilinear pseudodifferential operators with symbols in the Hörmander classes BSω1,0. In particular, we investigate their relation to discrete analogues of the bilinear Calderón-Zygmund singular integral operators and show compactness of their commutators.

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Discrete bilinear operators and commutators

Abstract

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Projects

SingStocDispDyn: Singular Stochastic Dispersive Dynamics

Cite this