Convergence of two-dimensional weighted integrals
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Publication:2781377
DOI10.1090/S0002-9947-01-02939-7zbMath1025.42007OpenAlexW1518575404MaRDI QIDQ2781377
Publication date: 19 March 2002
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9947-01-02939-7
convergencegrowth ratesharmonic analysisoscillatory integralsweighted integralsreal-analytic functions
Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Fourier integral operators applied to PDEs (35S30)
Related Items (7)
Integrability at infinity of negative powers of polynomials in the plane and its application to convergence of Dirichlet series ⋮ Singularities of rational inner functions in higher dimensions ⋮ Sharp \(L^p\) decay estimates for degenerate and singular oscillatory integral operators: homogeneous polynomial phases ⋮ Newton polygons and local integrability of negative powers of smooth functions in the plane ⋮ \(L^p\) decay estimates for weighted oscillatory integral operators on \(\mathbb R\) ⋮ On \(L^p\)-improving for averages associated to mixed homogeneous polynomial hypersurfaces in \(\mathbb{R}^3\) ⋮ Weighted inequalities for real-analytic functions in \(\mathbb R^ 2\).
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