Results 11 to 20 of about 21,114 (257)
Perturbations of Banach Frames and Atomic Decompositions [PDF]
Mathematische Nachrichten, 1997 AbstractBanach frames and atomic decompositions are sequences that have basis‐like properties but which need not be bases. In particular, they allow elements of a Banach space to be written as linear combinations of the frame or atomic decomposition elements in a stable manner.
Christensen, Ole, Heil, Christopher E.
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Herz-Type Hardy Spaces Associated with Operators
Journal of Function Spaces, 2018 Suppose L is a nonnegative, self-adjoint differential operator. In this paper, we introduce the Herz-type Hardy spaces associated with operator L. Then, similar to the atomic and molecular decompositions of classical Herz-type Hardy spaces and the Hardy ...
Yan Chai, Yaoyao Han, Kai Zhao
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Continuous Frames, Function Spaces, and the Discretization Problem [PDF]
, 2004 A continuous frame is a family of vectors in a Hilbert space which allows reproductions of arbitrary elements by continuous superpositions. Associated to a given continuous frame we construct certain Banach spaces.
Communicated Karlheinz Gröchenig +2 more
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Smooth Decompositions of Triebel-Lizorkin and Besov Spaces on Product Spaces of Homogeneous Type
Journal of Function Spaces, 2014 We introduce Triebel-Lizorkin and Besov spaces by Calderón’s reproducing formula on product spaces of homogeneous type. We also obtain smooth atomic and molecular decompositions for these spaces.
Fanghui Liao +2 more
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Analysis, Visualization, and Transformation of Audio Signals Using Dictionary-based Methods [PDF]
, 2009 date-added: 2014-01-07 09:15:58 +0000 date-modified: 2014-01-07 09:15:58 +0000date-added: 2014-01-07 09:15:58 +0000 date-modified: 2014-01-07 09:15:58 ...
Aaron McLeran +12 more
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Atomic decompositions of Lorentz martingale spaces and applications
Journal of Function Spaces and Applications, 2009 In the paper we present three atomic decomposition theorems of Lorentz martingale spaces. With the help of atomic decomposition we obtain a sufficient condition for sublinear operator defined on Lorentz martingale spaces to be bounded.
Jiao Yong, Peng Lihua, Liu Peide
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Drainage and land use impacts on changes in selected peat properties and peat degradation in West Kalimantan Province, Indonesia [PDF]
Biogeosciences, 2010 Degradation of tropical peats is a global concern due to large Carbon emission and loss of biodiversity. The degradation of tropical peats usually starts when the government drains and clears peat forests into open peats used for food crops, oil palm and
G. Z. Anshari +8 more
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Atomic Decomposition of Weighted Besov Spaces
Journal of the London Mathematical Society, 1996 We find the atomic decomposition of functions in the weighted Besov spaces under certain factorization conditions on the weigh..
Ansorena, J.L., Blasco, O.
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Journal of Function Spaces and Applications, 2008 A construction of Triebel-Lizorkin type spaces associated with flexible decompositions of the frequency space ℝd is considered. The class of admissible frequency decompositions is generated by a one parameter group of (anisotropic) dilations on ℝd and a ...
Lasse Borup, Morten Nielsen
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Monoids of modules and arithmetic of direct-sum decompositions [PDF]
, 2014 Let $R$ be a (possibly noncommutative) ring and let $\mathcal C$ be a class of finitely generated (right) $R$-modules which is closed under finite direct sums, direct summands, and isomorphisms.
Baeth, Nicholas R., Geroldinger, Alfred
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