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1. Full Text A Roth‐type theorem for dense subsets of Rd
by Cook, Brian and Magyar, Ákos and Pramanik, Malabika
Bulletin of the London Mathematical Society, ISSN 0024-6093, 08/2017, Volume 49, Issue 4, pp. 676 - 689
Let 1 05D10 | 42B20 (primary)
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2. Full Text A local T(b) theorem for perfect multilinear Calderón–Zygmund operators
by Mirek, Mariusz and Thiele, Christoph
Proceedings of the London Mathematical Society, ISSN 0024-6115, 01/2017, Volume 114, Issue 1, pp. 35 - 59
We prove a multilinear local T(b) theorem that differs from previously considered multilinear local T(b) theorems in using exclusively general testing... 
42B20 (primary) | MATHEMATICS | TB-THEOREMS
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3. Full Text Double Hilbert transforms along polynomial surfaces in ℝ3
by Carbery, Anthony and Carbery, Anthony and Wainger, Stephen and Wright, James
Duke Mathematical Journal, ISSN 0012-7094, 2000, Volume 101, Issue 3, pp. 499 - 513
42B20
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4. Full Text L^{p} estimates for multilinear operators of strongly singular integral operators
by Li, Junfeng and Lu, Shanzhen
Nagoya Math. J, 2006, Volume 181, pp. 41 - 62
In this paper, the authors get the L^{p} estimates for the commutators generated by strongly singular integral operators and {\rm BMO} functions and the... 
42B20
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5. Full Text Bounds on Oscillatory Integral Operators Based on Multilinear Estimates
by Bourgain, Jean and Guth, Larry
Geometric and Functional Analysis, ISSN 1016-443X, 12/2011, Volume 21, Issue 6, pp. 1239 - 1295
We apply the Bennett–Carbery–Tao multilinear restriction estimate in order to bound restriction operators and more general oscillatory integral operators. We... 
Restriction | oscillatory integral operator | Mathematics | Kakeya | Analysis | 42B20 | MATHEMATICS
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6. Full Text Correction to “Discrete fractional Radon transforms and quadratic forms,” Duke Math. J. 161 (2012), 69–106
by Pierce, Lillian B
Duke Mathematical Journal, ISSN 0012-7094, 04/2013, Volume 162, Issue 6, pp. 1203 - 1204
11E25 | 11P55 | 42B20 | 44A12
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7. Full Text Subordination by conformal martingales in $L^{p}$ and zeros of Laguerre polynomials
by Borichev, Alexander and Janakiraman, Prabhu and Volberg, Alexander
Duke Mathematical Journal, ISSN 0012-7094, 04/2013, Volume 162, Issue 5, pp. 889 - 924
Given martingales W and Z such that W is differentially subordinate to Z , Burkholder obtained the sharp inequality E|W|^{p}\le(p^{*}-1)^{p}E|Z|^{p} , where... 
60G46 | 42A15 | 32A55 | 42B20
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8. Full Text Remarks on L 2 L^{2} boundedness of Littlewood–Paley operators
by Yabuta, Kôzô
Analysis, ISSN 0174-4747, 11/2017, Volume 37, Issue 4, pp. 243 - 244
In our paper in this journal, entitled “Remarks on boundedness of Littlewood–Paley operators”, there are two incomplete statements and incompleteness in the... 
42B20 | 42B25 | Littlewood–Paley operators
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9. Full Text Boundedness of Commutators and H $^1$$ 1 -BMO Duality in the Two Matrix Weighted Setting
by Isralowitz, Joshua
Integral Equations and Operator Theory, ISSN 0378-620X, 10/2017, Volume 89, Issue 2, pp. 257 - 287
In this paper we characterize the two matrix weighted boundedness of commutators with any of the Riesz transforms (when both are matrix $$\hbox {A}_p$$ A p... 
Mathematics | Commutators | Matrix weights | Paraproducts | Analysis | 42B20
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10. Full Text Sharp inequalities for the Beurling-Ahlfors transform on radial functions
by Bañuelos, Rodrigo and Osȩkowski, Adam
Duke Mathematical Journal, ISSN 0012-7094, 02/2013, Volume 162, Issue 2, pp. 417 - 434
For 1 <= p <= 2, we prove sharp weak-type (p, p)-estimates for the Beurling-Ahlfors operator acting on the radial function subspaces of L-p(C). A similar sharp... 
MARTINGALES | MATHEMATICS | CONSTANT | 60G46 | 42B20
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11. Full Text On the Beurling-Ahlfors tramsform's weak-type constant
by Gill, James
The Michigan Mathematical Journal, ISSN 0026-2285, 08/2010, Volume 59, Issue 2, pp. 353 - 363
42B20 | 30C62
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12. Full Text L^{p}-estimates for the rough singular integrals associated to surfaces
by Liu, Honghai
Osaka J. Math, 2014, Volume 51, Issue no. 1, pp. 225 - 245
In this paper we obtain the L^{p}-boundedness for the maximal functions and the singular integrals associated to surfaces (y,\phi(\lvert y\rvert)) with rough... 
42B15 | 42B20 | 42B25
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13. Full Text spaces for generalized Schrödinger operators and applications
by Liu, Yu and Wang, He
Forum Mathematicum, ISSN 0933-7741, 11/2019, Volume 31, Issue 6, pp. 1379 - 1394
In this paper, we study the Hardy type space by means of local maximal functions associated with the heat semigroup generated by , where is the generalized... 
35J10 | Riesz transform | 42B30 | Schrödinger operators | 42B20 | Hardy space
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14. Full Text Weighted restriction estimates using polynomial partitioning
by Shayya, Bassam
Proceedings of the London Mathematical Society, ISSN 0024-6115, 09/2017, Volume 115, Issue 3, pp. 545 - 598
We use the polynomial partitioning method of Guth [J. Amer. Math. Soc. 29 (2016) 371–413] to prove weighted Fourier restriction estimates in R3 with exponents... 
28A75 (secondary) | 42B20 (primary) | 42B10 | MATHEMATICS | DIMENSIONS | DISTANCE SETS | SPHERICAL AVERAGES | FOURIER-TRANSFORMS | CIRCULAR MEANS | CONJECTURE | Mathematics - Classical Analysis and ODEs
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15. Full Text Weak and Strong Type \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$A_1$$\end{document}A1–\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$A_\infty $$\end{document}A∞ Estimates for Sparsely Dominated Operators
by Frey, Dorothee and Nieraeth, Bas
Journal of Geometric Analysis, ISSN 1050-6926, 2019, Volume 29, Issue 1, pp. 247 - 282
We consider operators T satisfying a sparse domination property \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts}... 
Sharp weighted bounds | 42B25 | Muckenhoupt weights | 42B20 | Sparse domination
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16. Full Text Weighted Inequalities for Bilinear Rough Singular Integrals from L-2 x L-2 to L-1
by Chen, P and He, DQ and Song, L
JOURNAL OF GEOMETRIC ANALYSIS, ISSN 1050-6926, 01/2019, Volume 29, Issue 1, pp. 402 - 412
We establish a weighted inequality for bilinear rough singular integrals with bound controlled by the cube of the characteristic constant of the pair of... 
MATHEMATICS | Weighted inequalities | Bilinear operators | BOUNDS | Rough singular integrals | 42B20
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17. Full Text L p-gradient estimates for the commutators of the Kato square roots of second-order elliptic operators on ℝn
by Tao, Wenyu and Chen, Yanping and Xiao, Yayuan and Wang, Liwei
Science China Mathematics, ISSN 1674-7283, 2019
commutator | 42B25 | Sobolev space | 42B20 | Kato square root | elliptic operators
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18. Full Text Multi‐parameter estimates via operator‐valued shifts
by Hytönen, Tuomas and Martikainen, Henri and Vuorinen, Emil
Proceedings of the London Mathematical Society, ISSN 0024-6115, 12/2019, Volume 119, Issue 6, pp. 1560 - 1597
We prove the mixed‐norm LpLq‐boundedness of a general class of singular integral operators having a multi‐parameter singularity and acting on vector‐valued... 
42B20 (primary) | Mathematics - Classical Analysis and ODEs
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19. Full Text The square root problem for second-order, divergence form operators with mixed boundary conditions on Lp
by Auscher, Pascal and Badr, Nadine and Haller-Dintelmann, Robert and Rehberg, Joachim
Journal of Evolution Equations, ISSN 1424-3199, 2015, Volume 15, Issue 1, pp. 165 - 208
35K20 | Primary: 35J15 | 47B44 | 42B20 | 46B70 | Secondary: 26D15
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20. Full Text The Kato-Ponce Inequality
by Grafakos, Loukas and Oh, Seungly
Communications in Partial Differential Equations, ISSN 0360-5302, 06/2014, Volume 39, Issue 6, pp. 1128 - 1157
In this article we revisit the inequalities of Kato and Ponce concerning the L r norm of the Bessel potential J s  = (1 − Δ) s/2 (or Riesz potential D s  = (−... 
Primary 42B20 | Secondary 46E35 | Kato-Ponce | Fractional Leibniz rule | KORTEWEG-DEVRIES EQUATION | MATHEMATICS | MATHEMATICS, APPLIED | NAVIER-STOKES EQUATIONS | OPERATORS | EULER | Partial differential equations | Inequality | Norms | Estimates | Inequalities | Images
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