November 19, 2025Geometric and Functional AnalysisOpen Access

Oscillatory Integral Operators and Variable Schrödinger Propagators: Beyond the Universal Estimates

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Authors

MCMing-Feng Chen SGShengwen Gan SGShaoming Guo

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Implication

Investigative analysis shows maximal function estimates for oscillatory integral operators in higher dimensions, indicating significant advancements in the theory.

Key Points

Main finding confirms novel maximal function estimates for special oscillatory integral operators, enhancing understanding of oscillatory behaviors.
Key evidence reveals results depend on newly established weak conditions, extending the range of L^p bounds.
Observational analysis provides insights into the relationship between Hörmander-type and variable coefficient Schrödinger propagator-type operators.
Implications suggest that refined estimates improve the overall understanding of oscillatory integral theory, particularly in higher dimensions.

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Chen et al. (2025) studied this question.

synapsesocial.com/papers/6924f091c0ce034ddc350894 https://doi.org/10.1007/s00039-025-00724-y

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Implication

Investigative analysis shows maximal function estimates for oscillatory integral operators in higher dimensions, indicating significant advancements in the theory.

Oscillatory Integral Operators and Variable Schrödinger Propagators: Beyond the Universal Estimates

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Implication

Key Points

Cite This Study

Oscillatory Integral Operators and Variable Schrödinger Propagators: Beyond the Universal Estimates

Discussion

Member takes

Implication

Key Points

Cite This Study

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