Found 57 Documents (Results 1–57)
Oscillatory integrals for Mittag-Leffler functions with two variables. (Intégrales oscillatoires pour les fonctions de Mittag-Leffler à deux variables.) (English. French summary) Zbl 07915254
On maximal operators associated with singular hypersurfaces. (English. Russian original) Zbl 1541.42019
Russ. Math. 68, No. 1, 61-68 (2024); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2024, No. 1, 69-76 (2024).
Weierstrass polynomials in estimates of oscillatory integrals. (English. Russian original) Zbl 1532.42005
J. Math. Sci., New York 278, No. 3, 439-462 (2024); translation from Sovrem. Mat., Fundam. Napravl. 67, No. 4, 668-692 (2022).
Resolution of singularities for \(C^\infty\) functions and meromorphy of local zeta functions. (English) Zbl 1539.58019
On estimates for maximal operators. (English. Russian original) Zbl 1533.42023
Russ. Math. 67, No. 7, 17-26 (2023); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2023, No. 7, 23-33 (2023).
On the boundedness of the maximal operators associated with singular hypersurfaces. (English. Russian original) Zbl 1526.42034
Math. Notes 114, No. 1, 108-116 (2023); translation from Mat. Zametki 114, No. 1, 133-143 (2023).
MSC:
42B25
\(L^p\)-improving bounds and weighted estimates for maximal functions associated with curvature. (English) Zbl 1508.42022
Reviewer: Vitaliy Volchkov (Donetsk)
Real analysis, harmonic analysis and applications. Abstracts from the workshop held July 3–9, 2022. (English) Zbl 1520.00024
On the boundedness problem of maximal operators. (English. Russian original) Zbl 1506.42024
Russ. Math. 66, No. 4, 74-83 (2022); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2022, No. 4, 84-94 (2022).
Fourier transform of surface-carried measures of two-dimensional generic surfaces and applications. (English) Zbl 1500.42002
On boundedness of maximal operators associated with hypersurfaces. (English. Russian original) Zbl 1496.42023
J. Math. Sci., New York 264, No. 6, 715-745 (2022); translation from Sovrem. Mat., Fundam. Napravl. 64, No. 4, 650-681 (2018).
MSC:
42B25
A Fourier restriction theorem for a perturbed hyperbolic paraboloid: polynomial partitioning. (English) Zbl 1487.42015
Time-harmonic solutions for Maxwell’s equations in anisotropic media and Bochner-Riesz estimates with negative index for non-elliptic surfaces. (English) Zbl 1489.42015
Reviewer: Felipe Ponce-Vanegas (Bilbao)
On Fourier restriction for finite-type perturbations of the hyperbolic paraboloid. (English) Zbl 1479.42027
Ciatti, Paolo (ed.) et al., Geometric aspects of harmonic analysis. Proceedings of the INdAM meeting, Cortona, Italy, June 25–29, 2018. Cham: Springer. Springer INdAM Ser. 45, 193-222 (2021).
The asymptotic property of the hyperparabolic maximal function. (English) Zbl 1480.42031
Reviewer: Guillermo Flores (Córdoba)
Partitions of flat one-variate functions and a Fourier restriction theorem for related perturbations of the hyperbolic paraboloid. (English) Zbl 1472.42028
Reviewer: Paul Hagelstein (Waco)
Fourier transforms of indicator functions, lattice point discrepancy, and the stability of integrals. (English) Zbl 1471.42021
A restriction estimate for a certain surface of finite type in \(\mathbb{R}^3\). (English) Zbl 1471.42023
MSC:
42B10
The boundedness of maximal operators associated with singular surfaces. (English. Russian original) Zbl 1468.42021
Russ. Math. 65, No. 6, 73-83 (2021); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2021, No. 6, 84-94 (2021).
Mixed norm Strichartz-type estimates for hypersurfaces in three dimensions. (English) Zbl 1461.42006
Weighted estimates for maximal functions associated with finite type curves in \(\mathbb{R}^2\). (English) Zbl 1460.42028
Reviewer: Guillermo Flores (Córdoba)
Smooth and singular maximal averages over 2D hypersurfaces and associated Radon transforms. (English) Zbl 1454.42009
A Fourier restriction theorem for a perturbed hyperbolic paraboloid. (English) Zbl 1442.42044
MSC:
42B25
\(L^p\) Sobolev regularity for a class of Radon and Radon-like transforms of various codimension. (English) Zbl 1418.42017
Reviewer: Haixia Yu (Beijing)
Estimates for maximal functions associated to hypersurfaces in \(\mathbb{R}^3\) with height \(h<2\). I. (English) Zbl 1418.42025
Reviewer: Giuseppe Di Fazio (Catania)
MSC:
42B25
Maximal functions associated with flat plane curves with mitigating factors. (English) Zbl 1409.42016
\(L^{p}\) Sobolev regularity of averaging operators over hypersurfaces and the Newton polyhedron. (English) Zbl 1440.42106
Estimates of oscillatory integrals with a damping factor. (English. Russian original) Zbl 1401.42015
Math. Notes 104, No. 2, 218-230 (2018); translation from Mat. Zametki 104, No. 2, 200-215 (2018).
Fourier transforms of powers of well-behaved 2D real analytic functions. (English) Zbl 1390.42019
MSC:
42B20
Maximal functions associated with nonisotropic dilations of hypersurfaces in \(\mathbb R^3\). (English. French summary) Zbl 1393.42015
A Fourier restriction theorem for a two-dimensional surface of finite type. (English) Zbl 1364.42010
MSC:
42B10
Multi-parameter maximal operators associated with finite measures and arbitrary sets of parameters. (English) Zbl 1353.42014
MSC:
42B25
Estimates for Fourier transforms of surface measures in \(\mathbb{R}^3\) and PDE applications. (English) Zbl 1345.42006
Reviewer: Luz Roncal (Logroño)
Uniform bounds for Fourier transforms of surface measures in \(\mathbf{R}^3\) with nonsmooth density. (English) Zbl 1335.42005
Reviewer: Elijah Liflyand (Ramat-Gan)
Sobolev estimates for averaging operators over a convex hypersurface in \(\mathbb R^3\). (English) Zbl 1308.42004
J. Math. Anal. Appl. 412, No. 1, 244-268 (2014); corrigendum ibid. 423, No. 2, 1867-1871 (2015).
MSC:
42B08
Stability of oscillatory integral asymptotics in two dimensions. (English) Zbl 1302.42023
MSC:
42B20
\(L^p\) boundedness of maximal averages over hypersurfaces in \(\mathbb R^3\). (English) Zbl 1277.42016
Reviewer: Sunggeum Hong (Gwangju)
MSC:
42B20
An endline bilinear cone restriction estimate for mixed norms. (English) Zbl 1269.42005
Reviewer: Delfina Roux (Milano)
Maximal averages over hypersurfaces and the Newton polyhedron. (English) Zbl 1243.42026
Reviewer: Lijing Sun (Milwaukee)
Uniform geometric estimates of sublevel sets. (English) Zbl 1310.42006
MSC:
42B08
Uniform estimates for the Fourier transform of surface carried measures in \(\mathbb R^{3}\) and an application to Fourier restriction. (English) Zbl 1241.42009
Reviewer: Lijing Sun (Milwaukee)
On adapted coordinate systems. (English) Zbl 1222.35219
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