Mizohata–Takeuchi estimates in the plane

DOI10.1112/blms.12843zbMath1528.42017arXiv2208.10305OpenAlexW4367676175MaRDI QIDQ6086866

Bassam Shayya

Publication date: 11 December 2023

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.10305

zbMATH Keywords

extension operatorpolynomial partitioningrestriction estimate

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Length, area, volume, other geometric measure theory (28A75) Hausdorff and packing measures (28A78) Higher-order parabolic equations (35K25)

Related Items (1)

Incidence problems in harmonic analysis, geometric measure theory, and ergodic theory. Abstracts from the workshop held June 4--9, 2023

Cites Work

• Unnamed Item
• On the Cauchy problem for some non-Kowalewskian equations with distinct characteristic roots
• Localisation and weighted inequalities for spherical Fourier means
• Radial weights and mixed norm inequalities for the disc multiplier
• Weighted estimates for the Helmholtz equation and some applications
• Pointwise Fourier inversion and localisation in \(\mathbb{R}^n\)
• Restriction estimates using polynomial partitioning. II
• Restriction and decay for flat hypersurfaces.
• Tomography bounds for the Fourier extension operator and applications
• A cone restriction estimate using polynomial partitioning
• Improved Fourier restriction estimates in higher dimensions
• Sharp estimates for oscillatory integral operators via polynomial partitioning
• A Stein conjecture for the circle
• A restriction estimate in \(\mathbb{R}^3\) using brooms
• A restriction estimate using polynomial partitioning
• A NOTE ON LOCALISED WEIGHTED INEQUALITIES FOR THE EXTENSION OPERATOR
• Large sets with limited tube occupancy
• A necessary condition or the well-posedness of the Cauchy problem or a certain class of evolution equations
• Fourier restriction in low fractal dimensions
• Weighted restriction estimates using polynomial partitioning
• Some special solutions of the Schr\"odinger equation
• Weighted restriction estimates and application to Falconer distance set problem
• Disentanglement, multilinear duality and factorisation for nonpositive operators

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