Damping estimates for oscillatory integral operators with real-analytic phases and its applications
-
Zuoshunhua Shi
,
Shaozhen Xu
Abstract
In this paper, we investigate sharp damping estimates for a class of one-dimensional oscillatory integral operators with real-analytic phases.
By establishing endpoint estimates for suitably damped oscillatory integral operators, we are able to give a new proof of the sharp
Funding source: National Natural Science Foundation of China
Award Identifier / Grant number: 11701573
Award Identifier / Grant number: 11871452
Funding statement: This work was supported in part by the National Natural Science Foundation of China under Grant numbers 11701573 and 11871452.
Acknowledgements
Part of this work was done when the first author was visiting the Department of Mathematics, Beijing Normal University. He would like to thank H. L. Tang for his valuable discussions and appreciates the hospitality and the support from Beijing Normal University. The second author gratefully acknowledges the financial support from China Scholarship Council. We would also like to express our gratitude to Professor Xiaochun Li for his valuable comments and warm encouragement.
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© 2019 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- Characteristic functions of semigroups in semi-simple Lie groups
- Damping estimates for oscillatory integral operators with real-analytic phases and its applications
- Formality properties of finitely generated groups and Lie algebras
- Toric actions in cosymplectic geometry
- On classification of typical representations for GL3(F)
- Integrable generators of Lie algebras of vector fields on ℂn
- Expanding phenomena over matrix rings
- On sup-norm bounds part II: GL(2) Eisenstein series
- Sublinear elliptic problems under radiality. Harmonic NA groups and Euclidean spaces
- Partial and full boundary regularity for non-autonomous functionals with Φ-growth conditions
- Radial averaging operator acting on Bergman and Lebesgue spaces
- The 𝑝-adic variation of the Gross–Kohnen–Zagier theorem
Artikel in diesem Heft
- Frontmatter
- Characteristic functions of semigroups in semi-simple Lie groups
- Damping estimates for oscillatory integral operators with real-analytic phases and its applications
- Formality properties of finitely generated groups and Lie algebras
- Toric actions in cosymplectic geometry
- On classification of typical representations for GL3(F)
- Integrable generators of Lie algebras of vector fields on ℂn
- Expanding phenomena over matrix rings
- On sup-norm bounds part II: GL(2) Eisenstein series
- Sublinear elliptic problems under radiality. Harmonic NA groups and Euclidean spaces
- Partial and full boundary regularity for non-autonomous functionals with Φ-growth conditions
- Radial averaging operator acting on Bergman and Lebesgue spaces
- The 𝑝-adic variation of the Gross–Kohnen–Zagier theorem
