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Gorenstein derived categories
Abstract Gorenstein derived categories are defined, and the relation with the usual derived categories is given. The bounded Gorenstein derived categories of Gorenstein rings and ofExpand
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Weighted endpoint estimates for commutators of Marcinkiewicz integrals
Let µΩ,bm be the commutator generalized by µΩ, the n-dimensional Marcinkiewicz integral, and b ∈ BMO(ℝn). The author establishes the weighted weak L log L-type estimates for µΩ,bm when Ω satisfies aExpand
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Weighted weak type estimates for commutators of the Marcinkiewicz integrals
In this paper the authors give the weighted weakLlogL type estimates for a class of the higher order commutator generated by the Marcinkiewicz integral and aBMO function. In addition, the weak typeExpand
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Weighted estimates for multilinear commutators of Marcinkiewicz integral
AbstractLet µ be the n-dimensional Marcinkiewicz integral and µb→ the multilinear commutator of µ. In this paper, the following weighted inequalities are proved for ω ∈ A∞ and 0 < p < ∞, $$ ||\muExpand
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Multiplicity of nonlinear thermal convection in a spherical shell.
Linear and weakly nonlinear thermal convection in a moderately thin spherical shell in the presence of a spherically symmetric gravity subject to a spherically symmetric boundary condition isExpand
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Theory of transformation optics and invisibility cloak design
Research on metamaterials has been growing ever since the first experimental realization of double negative media. The theory of transformation optics provides people with a perfect tool to make usExpand
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Lipschitz estimates for generalized commutators of fractional integrals with rough kernel
Let (0 1) boundedness, the weak (L1, Ln/(n–α–β)) boundedness and the (Lp, Ḟβ, ∞p) boundedness of are discussed, when DγA belongs to the Lipschitz function spaces.
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Strongly Gorenstein Projective Modules Over Upper Triangular Matrix Artin Algebras
We determine all the strongly complete projective resolutions, and all the strongly Gorenstein projective modules, over upper triangular matrix artin algebras. In particular, we show that all theExpand
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Patterns in spherical Rayleigh-Bénard convection: a giant spiral roll and its dislocations.
Thermal convection in a moderately thin spherical fluid layer in the presence of spherically symmetric gravity, spherical Rayleigh-Bénard convection, is investigated through fully three-dimensionalExpand
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