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Nonlinearity, ISSN 0951-7715, 08/2019, Volume 32, Issue 8, pp. 3023 - 3081
The Muttalib-Borodin biorthogonal ensemble is a probability density function for $n$ particles on the positive real line that depends on a parameter $\theta$... 
Mathematics - Classical Analysis and ODEs
Journal Article
Advances in Mathematics, ISSN 0001-8708, 2019
We characterize L p boundedness of iterated commutators of multiplication by a symbol function and tensor products of Riesz and Hilbert transforms. We obtain a... 
Mathematics | Classical Analysis and ODEs
Journal Article
Inventiones Mathematicae, ISSN 0020-9910, 09/2018, Volume 213, Issue 3, pp. 1327 - 1380
Journal Article
Mathematische Annalen, ISSN 0025-5831, 10/2019
Let $H^{(u)}$ be the Hilbert transform along the parabola $(t, ut^2)$ where $u\in \mathbb R$. For a set $U$ of positive numbers consider the maximal function... 
Mathematics - Classical Analysis and ODEs
Journal Article
Nonlinear Analysis: Theory, Methods and Applications, ISSN 0362-546X, 2018, Volume 177 part A, pp. 105 - 134
The paper is concerned with the least $W^{1,1}$-energy required to produce maps from a domain $\Omega\subset{\mathbb R}^2$ with values into ${\mathbb S}^1$... 
Mathematics | Classical Analysis and ODEs
Journal Article
Mathematische Annalen, ISSN 0025-5831, 07/2019
This is a pre-print of an article published in Math. Ann. (2019) We present a unified method to obtain weighted estimates of linear and multilinear commutators... 
Mathematics - Classical Analysis and ODEs
Journal Article
Comptes rendus - Mathématique, ISSN 1631-073X, 04/2019, Volume 357, Issue 4, pp. 339 - 344
For and the centered Hardy–Littlewood maximal operator on , we consider whether there is some such that . We prove this for . For , we prove the inequality for... 
Mathematics - Classical Analysis and ODEs
Journal Article
Mathematische Zeitschrift, ISSN 0025-5874, 05/2019
Mathematische Zeitschrift 2019 Given sparse collections of measurable sets $\mathcal S_k$, $k=1,2,\ldots ,N$, in a general measure space $(X,\mathfrak M,\mu)$,... 
Mathematics - Classical Analysis and ODEs
Journal Article
09/2017
We prove Szeg\H{o}-Widom asymptotics for the Chebyshev polynomials of a compact subset of $\mathbb{R}$ which is regular for potential theory and obeys the... 
Mathematics - Classical Analysis and ODEs
Journal Article
American Mathematical Monthly, ISSN 0002-9890, 05/2019, Volume 126, p. 448
Journal Article
Mathematical Proceedings of the Cambridge Philosophical Society, ISSN 0305-0041, 06/2019, pp. 1 - 16
AbstractWe establish the general form of a geometric comparison principle for n-fold convolutions of certain singular measures in ℝd which holds for arbitrary... 
Mathematics - Classical Analysis and ODEs
Journal Article
International Mathematics Research Notices, ISSN 1073-7928, 06/2018
International Mathematics Research Notices, 2018, rny140 The subject of time-band-limiting, originating in signal processing, is dominated by the miracle that... 
Mathematics - Classical Analysis and ODEs
Journal Article
Symmetry, Integrability and Geometry: Methods and Applications, ISSN 1815-0659, 10/2019
SIGMA 15 (2019), 081, 7 pages In this note we give a recursive formula for the derivatives of isotropic positive definite functions on the Hilbert sphere. We... 
Mathematics - Classical Analysis and ODEs
Journal Article
Numerische Mathematik, ISSN 0029-599X, 2019, Volume 141, Issue 2, pp. 495 - 567
We prove existence of a solution to the implicit MAC scheme for the compressible Navier-Stokes equations. We derive error estimates for this scheme on two and... 
Numerical Analysis | Mathematics | Classical Analysis and ODEs
Journal Article
Proceedings of the London Mathematical Society, ISSN 0024-6115, 12/2019, Volume 119, Issue 6, pp. 1560 - 1597
Proc. Lond. Math. Soc. 119 (6) (2019) 1560-1597 We prove new results for multi-parameter singular integrals. For example, we prove that bi-parameter singular... 
Mathematics - Classical Analysis and ODEs
Journal Article
Proceedings of the American Mathematical Society, ISSN 0002-9939, 10/2016, Volume 144, Issue 10, pp. 4455 - 4470
We give a quantitative embedding of the Muckenhoupt class A_1 into A_\infty . In particular, we show how \epsilon depends on [w]_{A_1} in the inequality which... 
Mathematics - Classical Analysis and ODEs
Journal Article
Comptes rendus - Mathématique, ISSN 1631-073X, 07/2019, Volume 357, Issue 7, pp. 597 - 612
Both optimal transport and minimal surfaces have received much attention in recent years. We show that the methodology introduced by Kantorovich on the Monge... 
MATHEMATICS | VALUES | AREA | Mathematics | Classical Analysis and ODEs
Journal Article
01/2017
Proc. London Math. Soc. 117(1): 192--220, 2018 We establish new linear and trilinear bounds for collections of tubes in $\mathbb{R}^4$ that satisfy the... 
Mathematics - Classical Analysis and ODEs
Journal Article
12/2018
Topol. Methods Nonlinear Anal. 49(2017), 715-737 For the multivalued Volterra integral equation defined in a Banach space, the set of solutions is proved to be... 
Mathematics - Classical Analysis and ODEs
Journal Article
01/2019
Stud. Univ. Babes-Bolyai Math. 64(2019), No. 3, 313-329 We obtain direct and inverse approximation theorems of functions of several variables by... 
Mathematics - Classical Analysis and ODEs
Journal Article
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