Results 91 to 100 of about 8,714,469 (204)
Bilinear Multipliers on Banach Function Spaces
Journal of Function Spaces, 2019 Let X1,X2,X3 be Banach spaces of measurable functions in L0(R) and let m(ξ,η) be a locally integrable function in R2. We say that m∈BM(X1,X2,X3)(R) if Bm(f,g)(x)=∫R∫Rf^(ξ)g^(η)m(ξ,η)e2πi<ξ+η,x>dξdη, defined for f and g with compactly supported Fourier transform, extends to a bounded bilinear operator from X1×X2 to X3. In this paper we investigate
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Isometries of a function space
International Journal of Mathematics and Mathematical Sciences, 1987 It is proved here that an isometry on the subset of all positive functions of L1⋂Lp(ℝ) can be characterized by means of a function h together with a Borel measurable mapping ϕ of ℝ, thus generalizing the Banach-Lamparti theorem of Lp spaces.
U. D. Vyas
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Advances in Difference Equations, 2017 The present paper deals with the Cauchy problem for the multi-term time-space fractional diffusion equation in one dimensional space. The time fractional derivatives are defined as Caputo fractional derivatives and the space fractional derivative is ...
Chung-Sik Sin, Gang-Il Ri, Mun-Chol Kim
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Field-Theoretic Weyl Deformation Quantization of Enlarged Poisson Algebras
Symmetry, Integrability and Geometry: Methods and Applications, 2008 C*-algebraic Weyl quantization is extended by allowing also degenerate pre-symplectic forms for the Weyl relations with infinitely many degrees of freedom, and by starting out from enlarged classical Poisson algebras.
Lothar Schlafer +2 more
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Regulated functions with values in Banach space
Mathematica Bohemica, 2019 A function \(f:[a,b]\to X\) of one real variable \(t\in [a,b]\) with values in a Banach space \(X\) is said to be regulated if at each point \(t\in [a,b]\) both the right limit \(f(t+)\) and the left limit \(f(t-)\) exist with the convention \(f(a-)=f(a)\), \(f(b+)=f(b)\). This paper gives an overview of topological properties of the space \(G([a,b];X)\
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Local Uniform Convexity and Kadec-Klee Type Properties in K-interpolation spaces II
Journal of Function Spaces and Applications, 2004 We study local uniform convexity and Kadec-Klee type properties in K-interpolation spaces of Lorentz couples. We show that a wide class of Banach couples of (commutative and) non-commutative Lorentz spaces possess the (so-alled) (DGL)-property originally
Peter G. Dodds +3 more
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Extrapolation of Compactness on Banach Function Spaces
Journal of Fourier Analysis and ApplicationsAbstractWe prove an extrapolation of compactness theorem for operators on Banach function spaces satisfying certain convexity and concavity conditions. In particular, we show that the boundedness of an operator T in the weighted Lebesgue scale and the compactness of T in the unweighted Lebesgue scale yields compactness of T on a very general class of ...
Emiel Lorist, Zoe Nieraeth
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Notes on banach function spaces. IV
Indagationes Mathematicae (Proceedings), 1963 Luxemburg, W.A.J., Zaanen, A.C.
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Remark on the Daugavet property for complex Banach spaces
Demonstratio MathematicaIn this article, we study the Daugavet property and the diametral diameter two properties (DD2Ps) in complex Banach spaces. The characterizations for both Daugavet and Δ\Delta -points are revisited in the context of complex Banach spaces. We also provide
Lee Han Ju, Tag Hyung-Joon
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Journal of Inequalities and Applications, 2011 Criteria for nonsquareness and locally uniform nonsquareness of Orlicz-Bochner function spaces equipped with Luxemburg norm are given. We also prove that, in Orlicz-Bochner function spaces generated by locally uniform nonsquare Banach space ...
Cui Yunan, Shang Shaoqiang, Fu Yongqiang
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