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Protein Science, ISSN 0961-8368, 01/2018, Volume 27, Issue 1, pp. 217 - 228
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 08/2015, Volume 428, Issue 1, pp. 605 - 626
We prove in this paper the following estimate for the maximal operator T⁎ associated to the singular integral operator T:‖T⁎f‖L1,∞(w)≲1ϵ∫Rn|f(x)|ML(log⁡L)ϵ(w)(x)dx,w≥0,0<ϵ≤1... 
Calderón–Zygmund operators | Weighted estimates | Maximal operators | Calderón-Zygmund operators
Journal Article
Biometrics, ISSN 0006-341X, 09/2018, Volume 74, Issue 3, pp. 891 - 899
... and treatment history up to that point. We show that identifying the optimal dynamic treatment regime can be recast as a sequential optimization problem and propose a direct sequential optimization method to estimate the optimal treatment regimes... 
Precision medicine | A‐learning | Augmented inverse probability weighted estimator | Dynamic treatment regime | Q‐learning | CART | Q-learning | A-learning | DECISIONS | DESIGN | INDIVIDUALIZED TREATMENT RULES | BIOLOGY | MATHEMATICAL & COMPUTATIONAL BIOLOGY | STATISTICS & PROBABILITY | Medical History Taking | Computer Simulation | Therapeutics | Classification - methods | Patient-Specific Modeling - statistics & numerical data | Decision Trees | Precision Medicine - methods | Decision-making | Algorithms | Data mining | Questions and answers | Analysis
Journal Article
Journal of Scientific Computing, ISSN 0885-7474, 2/2019, Volume 78, Issue 2, pp. 1087 - 1110
.... We first establish the regularity in weighted Sobolev spaces. Then we present an optimal error estimate for a spectral Galerkin method for the equation and a sub-optimal error estimate for a spectral Petrov–Galerkin method... 
Computational Mathematics and Numerical Analysis | Theoretical, Mathematical and Computational Physics | 26A33 | Mathematics | Spectral methods | Algorithms | 41A25 | 65L60 | Mathematical and Computational Engineering | Optimal error estimate | 41A10 | 35B65 | Weighted spaces | Fractional Laplacian | Regularity | LAPLACIAN | MATHEMATICS, APPLIED | PART I | MODELS | APPROXIMATIONS | CALCULUS
Journal Article
Educational and Psychological Measurement, ISSN 0013-1644, 10/2017, Volume 77, Issue 5, pp. 721 - 742
Journal Article
New York Journal of Mathematics, ISSN 1076-9803, 2016, Volume 22, pp. 341 - 349
We obtain an alternative approach to recent results by M. Lacey and Hytonen-Roncal-Tapiola about a pointwise domination of omega-Calderon-Zygmund operators by... 
Sharp weighted bounds | Pointwise estimates | Calderón-Zygmund operators | Sparse operators | sharp weighted bounds | MATHEMATICS | Calderon-Zygmund operators | pointwise estimates | sparse operators
Journal Article
Journal of Functional Analysis, ISSN 0022-1236, 03/2016, Volume 270, Issue 6, pp. 2168 - 2187
...], we find that one can obtain weighted estimates of the magnetic field B by direct weighted energy estimate, and then by regarding the magnetic convection term as a forcing term in the velocity... 
Weighted estimates | Parabolic interpolation inequality | Space–time decay | Hall-MHD | Space-time decay | SYSTEM | VELOCITY | GLOBAL EXISTENCE | INVARIANT | WELL-POSEDNESS | VORTICITY EQUATIONS | MAGNETOHYDRODYNAMIC EQUATIONS | MATHEMATICS | NAVIER-STOKES EQUATIONS | ASYMPTOTICS | WEAK SOLUTIONS | Magnetic fields
Journal Article
Advances in Mathematics, ISSN 0001-8708, 10/2017, Volume 319, pp. 153 - 181
... (called the sparse operators). We obtain a similar pointwise estimate for the commutator [b... 
Calderón–Zygmund operators | Weighted inequalities | Sparse operators | Commutators | MATHEMATICS | INEQUALITIES | SPACES | BOUNDS | THEOREM | BMO | Calderon-Zygmund operators | SINGULAR INTEGRAL-OPERATORS | PROOF
Journal Article
PLoS ONE, ISSN 1932-6203, 04/2017, Volume 12, Issue 4, p. e0175106
Journal Article
by Chen, JC and Hu, GE
Proceedings of the Edinburgh Mathematical Society, ISSN 0013-0915, 02/2020, Volume 63, Issue 1, pp. 169 - 192
In this paper the authors consider the weighted estimates for the Calder ' on commutator defined by Cm+1,A(a(1),..., a(m); f)(x) = p.v. integral(R) P-2(A; x, y... 
MATHEMATICS | multilinear singular integral operator | weighted inequality | NORM INEQUALITIES | multiple weight | SPACES | BOUNDS | SINGULAR INTEGRAL-OPERATORS | Calderon commutator | sparse operator | NONSMOOTH KERNELS | POINTWISE | Operators (mathematics) | Commutators | Mathematical analysis | Estimates
Journal Article
Potential Analysis, ISSN 0926-2601, 7/2014, Volume 41, Issue 1, pp. 51 - 79
Journal Article