Results 31 to 40 of about 414,180 (260)
The boundedness of Bessel-Riesz operators on generalized Morrey spaces [PDF]
, 2016 In this paper, we prove the boundedness of Bessel-Riesz operators on generalized Morrey spaces. The proof uses the usual dyadic decomposition, a Hedberg-type inequality for the operators, and the boundedness of Hardy-Littlewood maximal operator.
Eridani, Gunawan, H., Idris, M.
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Inequalities for the fractional convolution operator on differential forms
Journal of Inequalities and Applications, 2018 The purpose of this paper is to derive some Coifman type inequalities for the fractional convolution operator applied to differential forms. The Lipschitz norm and BMO norm estimates for this integral type operator acting on differential forms are also ...
Zhimin Dai, Huacan Li, Qunfang Li
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Volterra integral operator and essential norm on Dirichlet type spaces
AIMS Mathematics, 2021 In this paper, we study the boundedness and essential norm of Volterra integral operator $ V_g $ and integral operator $ S_g $ on Dirichlet type spaces $ {\mathcal{D}_{K, \alpha}} $.
Liu Yang, Ruishen Qian
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Appropriate Inner Product for PT-Symmetric Hamiltonians
, 2017 A Hamiltonian $H$ that is not Hermitian can still have a real and complete energy eigenspectrum if it instead is $PT$ symmetric. For such Hamiltonians three possible inner products have been considered in the literature, the $V$ norm, the $PT$ norm, and ...
Mannheim, Philip D.
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On operator norms of submatrices
Linear Algebra and its Applications, 1981 AbstractBoth of the following conditions are equivalent to the absoluteness of a norm ν in Cn: (1) for all n×n diagonal matrices D=(dk), the subordinate operator norm Nν(D)=maxk|dk|; (2) for all n×n matrices A, Nν(A) ⩽Nν(|A|). These conditions are modified for partitioned matrices by replacing absolute values with norms of blocks.
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Probabilistic Norms for Linear Operators
Journal of Mathematical Analysis and Applications, 1998 Let \(V_1\) and \(V_2\) be probabilistic normed (PN) spaces, and \(L\) the space of all linear operators \(T: V_1\to V_2\). The authors study the following subsets of \(L\): \(L_b\) probabilistic bounded operators, \(L_c\) continuous operators and \(L_{bc}= L_b\cap L_c\). They work with the Sibley metric on the space of distribution functions.
B. Lafuerza Guillén +2 more
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Minimal norm Hankel operators [PDF]
, 2022 This paper has been has been accepted for publication in Proceedings of the ...
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A Probabilistic Integral Study of Quasiproduct Overa Nonadditive Measure
Journal of Harbin University of Science and Technology, 2021 In this paper, a definition of non additive measure is given, which has F-addability; the Einstein calculater is optimized, and the λ-fuzzy quasiproduct operator and λ-fuzzy quasi sum operator with adjustable parameters for practical problems are ...
ZHAO Hui, ZHANG Xiao-xue, ZHANG Shao-xin
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Linear Algebra and its Applications, 1998 The author obtains an upper and lower bound for the norm of the so-called sampling operator \(S_h(p,q)\). It is an operator obtained from the Laurent operator \(L_h\) [see \textit{I. Gohberg}, \textit{S. Goldberg} and \textit{M. A. Kaashoek}, ``Classes of linear operators.
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Rough norms in spaces of operators [PDF]
Mathematische Nachrichten, 2017 We investigate sufficient and necessary conditions for the space of bounded linear operators between two Banach spaces to be rough or average rough. Our main result is that is δ‐average rough whenever is δ‐average rough and Y is alternatively octahedral.
Rainis Haller +2 more
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