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Add  A Characterisation of algebraic exactness
Authors: Garner, Richard
Date: 2013
Subject Keyword: 010100 Pure Mathematics
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/217799
Description: An algebraically exact category is one that admits all of the limits and colimits which every variety of algebras possesses and every forgetful functor between varieties preserves, and which verifies ... More
Reviewed: Reviewed
Add  A Local version of Hardy spaces associated with operators on metric spaces
Authors: Gong, RuMing | Li, Ji | Yan, LiXin
Date: 2013
Subject Keyword: 010100 Pure Mathematics | local (1, p)-atoms | local Hardy space | Moser type local boundedness condition | non-negative self-adjoint operator | semigroups | space of homogeneous type
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/310361
Description: Let (X, d, μ) be a metric measure space endowed with a distance d and a nonnegative Borel doubling measure μ. Let L be a second order self-adjoint positive operator on L²(X). Assume that the semigroup ... More
Reviewed: Reviewed
Add  BMO from dyadic BMO via expectations on product spaces of homogeneous type
Authors: Chen, Peng | Li, Ji | Ward, Lesley A
Date: 2013
Subject Keyword: 010100 Pure Mathematics | Ap weights | BMO | Dyadic function classes | Hardy spaces | Multiparameter harmonic analysis | Random dyadic lattices | Reverse Hölder weights | Spaces of homogeneous type | VMO
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/310347
Description: Using the random dyadic lattices developed by Hytönen and Kairema, we build up a bridge between BMO and dyadic BMO, and hence one between VMO and dyadic VMO, via expectations over dyadic lattices on s ... More
Reviewed: Reviewed
Add  Boundedness of maximal functions on non-doubling manifolds with ends
Authors: Duong, Xuan Thinh | Li, Ji | Sikora, Adam
Date: 2013
Subject Keyword: 010100 Pure Mathematics | 010200 Applied Mathematics
Language: eng
Resource Type: conference paper
Identifier: http://hdl.handle.net/1959.14/310547
Description: 11 page(s)
Reviewed: Reviewed
Add  Boundedness of maximal operators and maximal commutators on non-homogeneous spaces
Authors: Bui, The Anh
Date: 2013
Subject Keyword: 010100 Pure Mathematics | 010200 Applied Mathematics
Language: eng
Resource Type: conference paper
Identifier: http://hdl.handle.net/1959.14/310554
Description: 15 page(s)
Reviewed: Reviewed
Add  Boundedness of singular integrals and their commutators with BMO functions on Hardy spaces
Authors: Bui, The Anh | Duong, Xuan Thinh
Date: 2013
Subject Keyword: 010100 Pure Mathematics
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/266696
Description: 36 page(s)
Reviewed: Reviewed
Add  Concentration of points on curves in finite fields
Authors: Cilleruelo, Javier | Shparlinski, Igor
Date: 2013
Subject Keyword: 010100 Pure Mathematics | Finite fields | Polynomials | Rational points on curves
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/278997
Description: We obtain analogues of several recent bounds on the number of solutions of polynomial congruences modulo a prime with variables in short intervals in the case of polynomial equations in high degree ex ... More
Reviewed: Reviewed
Add  Distribution of values of polynomial Fermat quotients
Authors: Shparlinski, Igor E | Winterhof, Arne
Date: 2013
Subject Keyword: 010100 Pure Mathematics | Fermat quotients | Fixed points | Image size | Multiplicity of values | Polynomials
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/221396
Description: 12 page(s)
Reviewed: Reviewed
Add  Free products of higher operad algebras
Authors: Weber, Mark
Date: 2013
Subject Keyword: 010100 Pure Mathematics | Funny tensor product | Higher categories | Operads
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/270105
Description: One of the open problems in higher category theory is the systematic construction of the higher dimensional analogues of the Gray tensor product of 2-categories. In this paper we continue the developm ... More
Reviewed: Reviewed
Add  Hardy spaces and regularity for the inhomogeneous Dirichlet and Neumann problems
Authors: Duong, Xuan Thinh | Hofmann, Steve | Mitrea, Dorina | Mitrea, Marius | Yan, Lixin
Date: 2013
Subject Keyword: 010100 Pure Mathematics | Atom | Convex domain | Green operator | Hardy space | Heat semigroup | Inhomogeneous Dirichlet and Neumann problems | Semiconvex domain
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/274259
Description: 54 page(s)
Reviewed: Reviewed
Add  Hardy spaces associated to operators satisfying Davies-Gaffney estimates and bounded holomorphic functional calculus
Authors: Duong, Xuan Thinh | Li, Ji
Date: 2013
Subject Keyword: 010100 Pure Mathematics | Atomic decomposition | Davies-Gaffney estimate | Hardy spaces | Interpolation | Littlewood-Paley square function | Molecular decomposition
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/272059
Description: Let X be a space of homogeneous type. Assume that an operator L has a bounded holomorphic functional calculus on L²(X) and the kernel of the heat semigroup {e-tL}t>0 satisfies the Davies-Gaffney estim ... More
Reviewed: Reviewed
Add  Hardy spaces, regularized BMO spaces and the boundedness of Calderón–Zygmund operators on non-homogeneous spaces
Authors: Bui, The Anh | Duong, Xuan Thinh
Date: 2013
Subject Keyword: 010100 Pure Mathematics | Non-homogeneous spaces | Hardy spaces | BMO | Calderón–Zygmund operator | 42B20 | 42B35
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/220238
Description: One defines a non-homogeneous space (X,μ) as a metric space equipped with a non-doubling measure μ so that the volume of the ball with center x, radius r has an upper bound of the form r n for some n> ... More
Reviewed: Reviewed
Add  Lp-bounds for Stein's square functions associated to operators and applications to spectral multipliers
Authors: Chen, Peng | Duong, Xuan Thinh | Yan, Lixin
Date: 2013
Subject Keyword: 010100 Pure Mathematics | Bochner-Riesz means | Heat semigroup | Non-negative selfadjoint operator | Space of homogeneous type | Stein's square function
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/277125
Description: Let (X, d, μ) be a metric measure space endowed with a metric d and a nonnegative Borel doubling measure μ. Let L be a non-negative self-adjoint operator of order m on X. Assume that L generates a hol ... More
Reviewed: Reviewed
Add  Multitensor lifting and strictly unital higher category theory
Authors: Batanin, Michael | Cisinski, Denis-Charles | Weber, Mark
Date: 2013
Subject Keyword: 010100 Pure Mathematics | Higher operads | Multitensors | Strictly unital higher categories
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/269953
Description: In this article we extend the theory of lax monoidal structures, also known as multitensors, and the monads on categories of enriched graphs that they give rise to. Our first principal result - the li ... More
Full Text: Full Text
Reviewed: Reviewed
Add  Multitensors as monads on categories of enriched graphs
Authors: Weber, Mark
Date: 2013
Subject Keyword: 010100 Pure Mathematics
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/270111
Description: In this paper we unify the developments of [Batanin, 1998], [Batanin- Weber, 2011] and [Cheng, 2011] into a single framework in which the interplay between multitensors on a category V, and monads on ... More
Reviewed: Reviewed