Results 21 to 30 of about 1,553 (242)
On the atomic decomposition of 𝐻¹ and interpolation [PDF]
Proceedings of the American Mathematical Society, 1986 The author gives a basic proof of the atomic decomposition for functions f in \(H^ 1\) (of the upper half plane). He uses the nontangential maximal function Nf in this proof. Using the symmetric decreasing rearrangement \((NF)^*\) of the maximal function he obtains an estimate quality (''Peetre K-functional'') \[ K(f,t)=\inf \{\| g\|_{H^ 1}+t\| h\|_{L^{
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Homogeneous Besov Spaces on Stratified Lie Groups and Their Wavelet Characterization
Journal of Function Spaces and Applications, 2012 We establish wavelet characterizations of homogeneous Besov spaces on stratified Lie groups, both in terms of continuous and discrete wavelet systems.
Hartmut Führ, Azita Mayeli
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Degrees of randomized computability: decomposition into atoms
CoRR, 2021 In this paper we study structural properties of LV-degrees of the algebra of collections of sequences that are non-negligible in the sense that they can be computed by a probabilistic algorithm with positive probability. We construct atoms and infinitely divisible elements of this algebra generated by sequences, which cannot be Martin-Löf random and ...
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Fast atomic decomposition by the inhibition method [PDF]
Proceedings 15th International Conference on Pattern Recognition. ICPR-2000, 2002 A new algorithm is introduced which is related to matching pursuit but allows updating more than one coding coefficient per iteration: the updated coefficients correspond to mutually orthogonal elements of the dictionary. Coding experiments on natural images show that the new method achieves the same trade-off as matching pursuit between number of ...
Pece, Arthur, Petkov, Nikolay
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WEIGHTED BESOV AND TRIEBEL–LIZORKIN SPACES ASSOCIATED WITH OPERATORS AND APPLICATIONS
Forum of Mathematics, Sigma, 2020 Let $X$ be a space of homogeneous type and $L$ be a nonnegative self-adjoint operator on $L^{2}(X)$ satisfying Gaussian upper bounds on its heat kernels.
HUY-QUI BUI +2 more
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Atomic decomposition of characters and crystals
Advances in Mathematics, 2021 Lascoux stated that the type A Kostka-Foulkes polynomials K_{lambda,mu}(t) expand positively in terms of so-called atomic polynomials. For any semisimple Lie algebra, the former polynomial is a t-analogue of the multiplicity of the dominant weight mu in the irreducible representation of highest weight lambda.
Lecouvey, Cédric, Lenart, Cristian
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Continuous Characterizations of Besov-Lizorkin-Triebel Spaces and New Interpretations as Coorbits
Journal of Function Spaces and Applications, 2012 We give characterizations for homogeneous and inhomogeneous Besov-Lizorkin-Triebel spaces (H. Triebel 1983, 1992, and 2006) in terms of continuous local means for the full range of parameters.
Tino Ullrich
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Organizing the atoms of the clique separator decomposition into an atom tree
Discrete Applied Mathematics, 2014 We define an atom tree of a graph as a generalization of a clique tree: its nodes are the atoms obtained by clique minimal separator decomposition, and its edges correspond to the clique minimal separators of the graph.Given a graph GG, we compute an atom tree by using a clique tree of a minimal triangulation HH of GG.
Berry, Anne +2 more
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Atomic decompositions for noncommutative martingales
Journal of Functional Analysis, 2023 We prove an atomic type decomposition for the noncommutative martingale Hardy space $\h_p$ for all ...
Zeqian Chen +2 more
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Efficient and guaranteed rank minimization by atomic decomposition [PDF]
2009 IEEE International Symposium on Information Theory, 2009 submitted to ISIT ...
Yoram Bresler, Kiryung Lee
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