Generalizations of the Schrödinger maximal operator: building arithmetic counterexamples

DOI10.1007/s11854-023-0335-7arXiv2309.05872OpenAlexW4390100299WikidataQ124802478 ScholiaQ124802478MaRDI QIDQ6142983

Publication date: 23 January 2024

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2309.05872

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Schrödinger operator, Schrödinger equation (35J10) Forms and linear algebraic groups (11Exx) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Cites Work

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A note on the Schrödinger maximal function
Coherence on fractals versus pointwise convergence for the Schrödinger equation
Estimates for mixed character sums
Regularity of solutions to the Schrödinger equation
Local smoothing and convergence properties of Schrödinger type equations
A Grothendieck ring of higher degree forms
Centers of higher degree forms.
La conjecture de Weil. I
The solution to the Waring problem for monomials and the sum of coprime monomials
A bilinear approach to cone multipliers. I: Restriction estimates
On homogeneous polynomials determined by their Jacobian ideal
Pointwise convergence over fractals for dispersive equations with homogeneous symbol
Sharp \(L^2\) estimates of the Schrödinger maximal function in higher dimensions
A sharp Schrödinger maximal estimate in \(\mathbb{R}^2\)
On the Schrödinger maximal function in higher dimension
Indecomposable forms of higher degree
On the zeta function of a hypersurface. I
A Strong Type (2,2) Estimate for a Maximal Operator Associated to the Schrodinger Equation
A note on pointwise convergence for the Schrödinger equation
Pointwise convergence of solutions to the nonelliptic Schr\"odinger equation
Pointwise convergence of solutions to Schr\"odinger equations
Witt rings of higher degree forms
A counter-example concerning maximal estimates for solutions to equations of Schrodinger type
The symmetries of solitons
Varieties of sums of power
POINTWISE CONVERGENCE OF SCHRÖDINGER SOLUTIONS AND MULTILINEAR REFINED STRICHARTZ ESTIMATES
A New Bound for the Waring Rank of Monomials
On Bourgain’s Counterexample for the Schrödinger Maximal Function
On the Length of Binary Forms
On centres and direct sum decompositions of higher degree forms
Geometric generalizations of the square sieve, with an application to cyclic covers
Counterexamples for High-Degree Generalizations of the Schrödinger Maximal Operator

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