Journal of Fourier Analysis and Applications, ISSN 1069-5869, 6/2019, Volume 25, Issue 3, pp. 959 - 994

We obtain new multilinear multiplier theorems for symbols of restricted smoothness which lie locally in certain Sobolev spaces. We provide applications...

Abstract Harmonic Analysis | Mathematical Methods in Physics | Fourier Analysis | Signal,Image and Speech Processing | Approximations and Expansions | Multiplier operators | Mathematics | Multilinear operators | Secondary 42B25 | Partial Differential Equations | Calderón commutators | Primary 42B15 | MATHEMATICS, APPLIED | Calderon commutators | BOUNDEDNESS | MINIMAL SOBOLEV REGULARITY | OPERATORS | FOURIER MULTIPLIERS | SINGULAR-INTEGRALS

Abstract Harmonic Analysis | Mathematical Methods in Physics | Fourier Analysis | Signal,Image and Speech Processing | Approximations and Expansions | Multiplier operators | Mathematics | Multilinear operators | Secondary 42B25 | Partial Differential Equations | Calderón commutators | Primary 42B15 | MATHEMATICS, APPLIED | Calderon commutators | BOUNDEDNESS | MINIMAL SOBOLEV REGULARITY | OPERATORS | FOURIER MULTIPLIERS | SINGULAR-INTEGRALS

Journal Article

22.
Full Text
Weak type commutator and Lipschitz estimates: resolution of the Nazarov-Peller conjecture

American Journal of Mathematics, ISSN 0002-9327, 2019, Volume 141, Issue 3, pp. 593 - 610

Let M be a semi-finite von Neumann algebra and let f : R -> C be a Lipschitz function. If A, B is an element of M are self-adjoint operators such that [A, B]...

Perturbation (Mathematics) | Lipschitz spaces | Commutators (Operator theory) | MATHEMATICS | ABSOLUTE VALUE | OPERATOR | NORMS

Perturbation (Mathematics) | Lipschitz spaces | Commutators (Operator theory) | MATHEMATICS | ABSOLUTE VALUE | OPERATOR | NORMS

Journal Article

Forum Mathematicum, ISSN 0933-7741, 11/2019, Volume 31, Issue 6, pp. 1607 - 1623

We define the concepts of and Abelian -groups. These two innovations are respectively non-trivial generalizations of the notions of commutator fully transitive...

(strongly) commutator fully transitive groups | 20K12 | (strongly) commutator Krylov transitive groups | 20K10 | (strongly) commutator transitive groups | (strongly) commutator weakly transitive groups | MATHEMATICS | MATHEMATICS, APPLIED | INVARIANT-SUBGROUPS | NOTIONS | Abelian p-groups

(strongly) commutator fully transitive groups | 20K12 | (strongly) commutator Krylov transitive groups | 20K10 | (strongly) commutator transitive groups | (strongly) commutator weakly transitive groups | MATHEMATICS | MATHEMATICS, APPLIED | INVARIANT-SUBGROUPS | NOTIONS | Abelian p-groups

Journal Article

Linear Algebra and Its Applications, ISSN 0024-3795, 04/2020, Volume 591, pp. 235 - 267

A complete characterization is provided of Hankel matrices commuting with Jacobi matrices which correspond to hypergeometric orthogonal polynomials from the...

Hankel matrix | Askey scheme | Diagonalization | Hilbert matrix | Commutator method | Orthogonal polynomials | MATHEMATICS | MATHEMATICS, APPLIED | Operators (mathematics) | Polynomials | Hankel matrices | Commutators

Hankel matrix | Askey scheme | Diagonalization | Hilbert matrix | Commutator method | Orthogonal polynomials | MATHEMATICS | MATHEMATICS, APPLIED | Operators (mathematics) | Polynomials | Hankel matrices | Commutators

Journal Article

Journal of Fourier Analysis and Applications, ISSN 1069-5869, 10/2018, Volume 24, Issue 5, pp. 1181 - 1203

We establish an analog for bilinear operators of the compactness interpolation result for bounded linear operators proved by Cwikel and Cobos, Kühn and...

Compact bilinear operators | Real interpolation | Mathematics | Primary 46B70 | Commutators of bilinear Calderón–Zygmund operators | Abstract Harmonic Analysis | 47B07 | Mathematical Methods in Physics | Fourier Analysis | Signal,Image and Speech Processing | Convolution operators | 42B20 | Approximations and Expansions | Secondary 47B38 | Partial Differential Equations | MATHEMATICS, APPLIED | LOGARITHMIC FUNCTORS | REITERATION | SPACES | NONCOMPACTNESS | COMMUTATORS | ARONSZAJN-GAGLIARDO FUNCTORS | FUNCTION PARAMETER | Commutators of bilinear Calderon-Zygmund operators | LIMITING INTERPOLATION

Compact bilinear operators | Real interpolation | Mathematics | Primary 46B70 | Commutators of bilinear Calderón–Zygmund operators | Abstract Harmonic Analysis | 47B07 | Mathematical Methods in Physics | Fourier Analysis | Signal,Image and Speech Processing | Convolution operators | 42B20 | Approximations and Expansions | Secondary 47B38 | Partial Differential Equations | MATHEMATICS, APPLIED | LOGARITHMIC FUNCTORS | REITERATION | SPACES | NONCOMPACTNESS | COMMUTATORS | ARONSZAJN-GAGLIARDO FUNCTORS | FUNCTION PARAMETER | Commutators of bilinear Calderon-Zygmund operators | LIMITING INTERPOLATION

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 8/2016, Volume 2016, Issue 8, pp. 1 - 17

We conjecture a sharp bound on the rate of growth of chaos in thermal quantum systems with a large number of degrees of freedom. Chaos can be diagnosed using...

Black Holes | AdS-CFT Correspondence | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | 1/N Expansion | Elementary Particles, Quantum Field Theory | PHYSICS, PARTICLES & FIELDS | Functions (mathematics) | Operators (mathematics) | Correlation | Degrees of freedom | Lyapunov exponents | Chaos theory | Mathematical analysis | Commutators | Quantum theory | Chaotic Dynamics | Nuclear and High Energy Physics | Condensed Matter - Statistical Mechanics | Nonlinear Sciences | High Energy Physics - Theory | Nonlinear Sciences - Chaotic Dynamics | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Black Holes | AdS-CFT Correspondence | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | 1/N Expansion | Elementary Particles, Quantum Field Theory | PHYSICS, PARTICLES & FIELDS | Functions (mathematics) | Operators (mathematics) | Correlation | Degrees of freedom | Lyapunov exponents | Chaos theory | Mathematical analysis | Commutators | Quantum theory | Chaotic Dynamics | Nuclear and High Energy Physics | Condensed Matter - Statistical Mechanics | Nonlinear Sciences | High Energy Physics - Theory | Nonlinear Sciences - Chaotic Dynamics | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Journal Article

Journal of Algebra, ISSN 0021-8693, 08/2018, Volume 508, pp. 431 - 444

Let w be a group-word. Suppose that the set of all w-values in a profinite group G is contained in a union of countably many cosets of subgroups. We are...

Profinite groups | Commutators | Cosets | MATHEMATICS | FINITE | WORDS | NILPOTENT SUBGROUPS | VERBAL SUBGROUPS | COVERINGS

Profinite groups | Commutators | Cosets | MATHEMATICS | FINITE | WORDS | NILPOTENT SUBGROUPS | VERBAL SUBGROUPS | COVERINGS

Journal Article

Journal de mathématiques pures et appliquées, ISSN 0021-7824, 06/2020, Volume 138, pp. 356 - 412

We develop a wide general theory of bilinear bi-parameter singular integrals T. This includes general Calderón–Zygmund type principles in the bilinear...

Calderón–Zygmund operators | Bilinear analysis | Commutators | Bi-parameter analysis

Calderón–Zygmund operators | Bilinear analysis | Commutators | Bi-parameter analysis

Journal Article

Set-Valued and Variational Analysis, ISSN 1877-0533, 12/2017, Volume 25, Issue 4, pp. 807 - 828

We study the boundedness of intrinsic square functions and their commutators on vanishing generalized Orlicz-Morrey spaces. In all the cases the conditions for...

Commutator | 42B35 | BMO | Analysis | 42B20 | 46E30 | Probability Theory and Stochastic Processes | Mathematics | Intrinsic square functions | Vanishing generalized Orlicz-Morrey spaces | MATHEMATICS, APPLIED | HIGHER-ORDER COMMUTATORS | MAXIMAL FUNCTIONS | HARDY-SPACES | BOUNDEDNESS | FRACTIONAL INTEGRAL-OPERATORS

Commutator | 42B35 | BMO | Analysis | 42B20 | 46E30 | Probability Theory and Stochastic Processes | Mathematics | Intrinsic square functions | Vanishing generalized Orlicz-Morrey spaces | MATHEMATICS, APPLIED | HIGHER-ORDER COMMUTATORS | MAXIMAL FUNCTIONS | HARDY-SPACES | BOUNDEDNESS | FRACTIONAL INTEGRAL-OPERATORS

Journal Article

Houston Journal of Mathematics, ISSN 0362-1588, 2015, Volume 41, Issue 4, pp. 1175 - 1190

Journal Article

Journal of Functional Analysis, ISSN 0022-1236, 08/2014, Volume 267, Issue 4, pp. 1035 - 1056

This paper establishes the local-in-time existence and uniqueness of strong solutions in Hs for s>n/2 to the viscous, non-resistive magnetohydrodynamics (MHD)...

Commutator estimates | MHD | Magnetohydrodynamics | MAGNETOHYDRODYNAMIC EQUATIONS | MATHEMATICS | EULER EQUATIONS

Commutator estimates | MHD | Magnetohydrodynamics | MAGNETOHYDRODYNAMIC EQUATIONS | MATHEMATICS | EULER EQUATIONS

Journal Article

Communications in Algebra, ISSN 0092-7872, 10/2019, Volume 47, Issue 10, pp. 4137 - 4147

Let G be a finite group and let We prove that the coprime subgroup is nilpotent if and only if for any -commutators of coprime orders (Theorem A). Moreover, we...

Coprime commutators | finite groups | nilpotency | MATHEMATICS | SUFFICIENT CONDITION | METANILPOTENCY | CRITERION | Commutators | Theorems | Subgroups | Mathematics - Group Theory

Coprime commutators | finite groups | nilpotency | MATHEMATICS | SUFFICIENT CONDITION | METANILPOTENCY | CRITERION | Commutators | Theorems | Subgroups | Mathematics - Group Theory

Journal Article

33.
Full Text
Interpolation of compact bilinear operators among quasi‐Banach spaces and applications

Mathematische Nachrichten, ISSN 0025-584X, 10/2018, Volume 291, Issue 14-15, pp. 2168 - 2187

We study the interpolation properties of compact bilinear operators by the general real method among quasi‐Banach couples. As an application we show that...

compact bilinear operators | 47B38 | real interpolation of quasi‐Banach couples | interpolation of compact bilinear operators among Lp spaces | 47B07; Secondary: 42B20 | commutators of Calderón–Zygmund operators | Primary: 46M35 | interpolation of compact bilinear operators among | real interpolation of quasi-Banach couples | spaces | LOGARITHMIC FUNCTORS | REITERATION | COMMUTATORS | ARONSZAJN-GAGLIARDO FUNCTORS | IDEALS | CALDERON | MATHEMATICS | commutators of Calderon-Zygmund operators | interpolation of compact bilinear operators among L-p-spaces | REAL INTERPOLATION | PARAMETER

compact bilinear operators | 47B38 | real interpolation of quasi‐Banach couples | interpolation of compact bilinear operators among Lp spaces | 47B07; Secondary: 42B20 | commutators of Calderón–Zygmund operators | Primary: 46M35 | interpolation of compact bilinear operators among | real interpolation of quasi-Banach couples | spaces | LOGARITHMIC FUNCTORS | REITERATION | COMMUTATORS | ARONSZAJN-GAGLIARDO FUNCTORS | IDEALS | CALDERON | MATHEMATICS | commutators of Calderon-Zygmund operators | interpolation of compact bilinear operators among L-p-spaces | REAL INTERPOLATION | PARAMETER

Journal Article

Proceedings of the Edinburgh Mathematical Society, ISSN 0013-0915, 11/2018, Volume 61, Issue 4, pp. 1069 - 1086

An A1−A∞ estimate, improving on a previous result for [b, TΩ] with \(\Omega \in L^{infty}({\open S}^{n - 1})\) and b∈BMO is obtained. A new result in terms of...

weights | commutators | rough singular integrals | sparse bounds | Commutators

weights | commutators | rough singular integrals | sparse bounds | Commutators

Journal Article

Advances in Mathematics, ISSN 0001-8708, 06/2019, Volume 349, pp. 911 - 919

A well-known theorem of P. Hall, usually called Hall's criterion for nilpotence, states: a group G is nilpotent whenever it has a normal subgroup N such that...

Nilpotent | Three subgroups lemma | Hall's criterion for nilpotence | Commutator lattice | Algebraic coherence | Semi-abelian | MATHEMATICS | COMMUTATOR

Nilpotent | Three subgroups lemma | Hall's criterion for nilpotence | Commutator lattice | Algebraic coherence | Semi-abelian | MATHEMATICS | COMMUTATOR

Journal Article

Journal of Algebra, ISSN 0021-8693, 10/2019, Volume 535, pp. 225 - 250

Supernilpotence is a generalization of nilpotence using a recently developed theory of higher-arity commutators for universal algebras. Many important...

Commutator theory | Taylor variety | Higher commutator theory | Supernilpotent algebras | MATHEMATICS | Computer science | Electrical engineering | Algebra

Commutator theory | Taylor variety | Higher commutator theory | Supernilpotent algebras | MATHEMATICS | Computer science | Electrical engineering | Algebra

Journal Article

Journal of Algebra, ISSN 0021-8693, 05/2019, Volume 526, pp. 423 - 458

For the free group Fr on r>1 generators (respectively, the free product G1⁎G2 of two nontrivial finite groups G1 and G2), we obtain the asymptotic for the...

Free groups | Commutators | Growth | Free products | MATHEMATICS | SERIES | PRODUCTS | LENGTH

Free groups | Commutators | Growth | Free products | MATHEMATICS | SERIES | PRODUCTS | LENGTH

Journal Article

Nonlinear Analysis, ISSN 0362-546X, 04/2020, Volume 193, p. 111375

We give an alternative proof of several sharp commutator estimates involving Riesz transforms, Riesz potentials, and fractional Laplacians. Our methods only...

Commutator estimates | Harmonic extension | MATHEMATICS | MATHEMATICS, APPLIED | MAPS | REGULARITY | SPACES | LIPSCHITZ | SYSTEMS | EQUATION | SURFACES | Half spaces | Commutators | Estimates | Jacobians

Commutator estimates | Harmonic extension | MATHEMATICS | MATHEMATICS, APPLIED | MAPS | REGULARITY | SPACES | LIPSCHITZ | SYSTEMS | EQUATION | SURFACES | Half spaces | Commutators | Estimates | Jacobians

Journal Article

Semigroup Forum, ISSN 0037-1912, 2/2019, Volume 98, Issue 1, pp. 22 - 30

Let A be the generator of a $$C_0$$ C 0 -semigroup $$(e^{At})_{t\ge 0}$$ ( e At ) t ≥ 0 on a Banach space $$\mathcal {X}$$ X and B be a bounded operator in...

Semigroups | Commutator | Mathematics | Algebra | Banach space | Perturbations | MATHEMATICS | EXPONENTIAL STABILITY | C-0-SEMIGROUPS

Semigroups | Commutator | Mathematics | Algebra | Banach space | Perturbations | MATHEMATICS | EXPONENTIAL STABILITY | C-0-SEMIGROUPS

Journal Article

Annals of Physics, ISSN 0003-4916, 08/2017, Volume 383, pp. 92 - 100

We derive suitable uncertainty relations for characteristics functions of phase and number of a single-mode field obtained from the Weyl form of commutation...

Uncertainty relations | Quantum phase | Weyl commutators | STATES | DIFFERENCE | PHYSICS, MULTIDISCIPLINARY | ANGLE | OPERATORS | Physics - Quantum Physics | COMMUTATION RELATIONS | COMMUTATORS | CORRELATIONS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Uncertainty relations | Quantum phase | Weyl commutators | STATES | DIFFERENCE | PHYSICS, MULTIDISCIPLINARY | ANGLE | OPERATORS | Physics - Quantum Physics | COMMUTATION RELATIONS | COMMUTATORS | CORRELATIONS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Journal Article

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