Compact T(1) theorem à la Stein

Árpád Bényi; Guopeng Li; Tadahiro Oh; Rodolfo H. Torres

doi:10.1016/j.jfa.2025.111052

Compact T(1) theorem à la Stein

Árpád Bényi^*
, Guopeng Li
, Tadahiro Oh
, Rodolfo H. Torres

^*Corresponding author for this work

Western Washington University
Beijing Institute of Technology
The University of Edinburgh and The Maxwell Institute for the Mathematical Sciences
University of California at Riverside

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

2 Citations (Scopus)

Abstract

We prove a compact T(1) theorem, involving quantitative estimates, analogous to the quantitative classical T(1) theorem due to Stein. We also discuss the C_c^∞-to-CMO mapping properties of non-compact Calderón-Zygmund operators as well as the sequential completeness properties of some subspaces of BMO under different topologies.

Original language	English
Article number	111052
Journal	Journal of Functional Analysis
Volume	289
Issue number	7
DOIs	https://doi.org/10.1016/j.jfa.2025.111052
Publication status	Published - 1 Oct 2025
Externally published	Yes

Keywords

Calderón-Zygmund operator
Compactness
Continuous mean oscillation
T(1) theorem

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10.1016/j.jfa.2025.111052

Cite this

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title = "Compact T(1) theorem {\`a} la Stein",

abstract = "We prove a compact T(1) theorem, involving quantitative estimates, analogous to the quantitative classical T(1) theorem due to Stein. We also discuss the Cc∞-to-CMO mapping properties of non-compact Calder{\'o}n-Zygmund operators as well as the sequential completeness properties of some subspaces of BMO under different topologies.",

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AU - Bényi, Árpád

AU - Li, Guopeng

AU - Oh, Tadahiro

AU - Torres, Rodolfo H.

PY - 2025/10/1

Y1 - 2025/10/1

N2 - We prove a compact T(1) theorem, involving quantitative estimates, analogous to the quantitative classical T(1) theorem due to Stein. We also discuss the Cc∞-to-CMO mapping properties of non-compact Calderón-Zygmund operators as well as the sequential completeness properties of some subspaces of BMO under different topologies.

AB - We prove a compact T(1) theorem, involving quantitative estimates, analogous to the quantitative classical T(1) theorem due to Stein. We also discuss the Cc∞-to-CMO mapping properties of non-compact Calderón-Zygmund operators as well as the sequential completeness properties of some subspaces of BMO under different topologies.

KW - Calderón-Zygmund operator

KW - Compactness

KW - Continuous mean oscillation

KW - T(1) theorem

UR - https://www.scopus.com/pages/publications/105005652728

U2 - 10.1016/j.jfa.2025.111052

DO - 10.1016/j.jfa.2025.111052

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VL - 289

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 7

M1 - 111052

ER -

Compact T(1) theorem à la Stein

Abstract

Keywords

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