While public spaces of tourist villages(PSTVs)have increasingly gained more policy and development attention,their empirical investigations are still *** study aims to develop a quantitative methodological approach of...
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While public spaces of tourist villages(PSTVs)have increasingly gained more policy and development attention,their empirical investigations are still *** study aims to develop a quantitative methodological approach of assessing PSTVs through the use of Analytic Hierarchy Process(AHP)to measure tourists’*** approach involves experts’and tourists’judgment processes,and the resultant assessment matrix is applied to suggest the strengths and weaknesses of the PSTVs using an Importance-Performance Analysis(IPA).The results from Jiaochangwei Village in Shenzhen suggest that"street spaces,""square spaces,""coastal spaces,""green spaces,""traffic facilities,""public service facilities,""culture,"and"management and maintenance"are key factors to evaluate the use and quality of *** paper offers insights into the theoretical investigation and practical development of PSTVs for tourism and village planning decision makers.
Given φ a subharmonic function on the complex plane C,with ?φdA being a doubling measure,the author studies Fock Carleson measures and some characterizations onμsuch that the induced positive Toeplitz operator T_μ...
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Given φ a subharmonic function on the complex plane C,with ?φdA being a doubling measure,the author studies Fock Carleson measures and some characterizations onμsuch that the induced positive Toeplitz operator T_μ is bounded or compact between the doubling Fock space F_φ~p and F_φ~∞ with 0
In this paper, using the Brzdek's fixed point theorem [9,Theorem 1] in non-Archimedean(2,β)-Banach spaces, we prove some stability and hyperstability results for an p-th root functional equation ■where p∈{1, …...
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In this paper, using the Brzdek's fixed point theorem [9,Theorem 1] in non-Archimedean(2,β)-Banach spaces, we prove some stability and hyperstability results for an p-th root functional equation ■where p∈{1, …, 5}, a_1,…, a_k are fixed nonzero reals when p ∈ {1,3,5} and are fixed positive reals when p ∈{2,4}.
In this paper, we study the well-posedness of the third-order differential equation with finite delay(P3): αu’"(t) + u"(t) = Au(t) + Bu’(t) + Fut +f(t)(t ∈ T := [0,2π]) with periodic boundary conditions...
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In this paper, we study the well-posedness of the third-order differential equation with finite delay(P3): αu’"(t) + u"(t) = Au(t) + Bu’(t) + Fut +f(t)(t ∈ T := [0,2π]) with periodic boundary conditions u(0) = u(2π), u’(0) = u"(2π),u"(0)=u"(2π) in periodic Lebesgue-Bochner spaces Lp(T;X) and periodic Besov spaces Bp,qs(T;X), where A and B are closed linear operators on a Banach space X satisfying D(A) ∩ D(B) ≠ spaces, α≠ 0 is a fixed constant and F is a bounded linear operator from Lp([-2π, 0];X)(resp. Bp,qs([-2π, 0];X)) into X, ut is given by ut(s) = u(t + s) when s ∈ [-2π,0]. Necessary and sufficient conditions for the Lp-well-posedness(resp. Bp,qs-well-posedness)of(P3) are given in the above two function spaces. We also give concrete examples that our abstract results may be applied.
We prove that, for each Banach space X which is isomorphic to its hyperplanes, the Lipschitz-free spaces over X and over its sphere are isomorphic. (C) 2021 Elsevier Inc. All rights reserved.
We prove that, for each Banach space X which is isomorphic to its hyperplanes, the Lipschitz-free spaces over X and over its sphere are isomorphic. (C) 2021 Elsevier Inc. All rights reserved.
In this paper we develop the theory of variable exponent Hardy spaces associated with discrete Laplacians on infinite graphs. Our Hardy spaces are defined by square integrals, atomic and molecular decompositions. Also...
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In this paper we develop the theory of variable exponent Hardy spaces associated with discrete Laplacians on infinite graphs. Our Hardy spaces are defined by square integrals, atomic and molecular decompositions. Also we study boundedness properties of Littlewood-Paley functions, Riesz transforms, and spectral multipliers for discrete Laplacians on variable exponent Hardy spaces.
This paper mainly concerns a tuple of multiplication operators defined on the weighted and unweighted multi-variable Bergman spaces, their joint reducing subspaces and the von Neumann algebra generated by the orthogon...
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This paper mainly concerns a tuple of multiplication operators defined on the weighted and unweighted multi-variable Bergman spaces, their joint reducing subspaces and the von Neumann algebra generated by the orthogonal projections onto these subspaces. It is found that the weights play an important role in the structures of lattices of joint reducing subspaces and of associated von Neumann algebras. Also, a class of special weights is taken into account. Under a mild condition it is proved that if those multiplication operators are defined by the same symbols, then the corresponding von Neumann algebras are *-isomorphic to the one defined on the unweighted Bergman space.
Recently, Mok and Zhang(2019) introduced the notion of admissible pairs(X0, X) of rational homogeneous spaces of Picard number 1 and proved rigidity of admissible pairs(X0, X) of the subdiagram type whenever X0 is non...
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Recently, Mok and Zhang(2019) introduced the notion of admissible pairs(X0, X) of rational homogeneous spaces of Picard number 1 and proved rigidity of admissible pairs(X0, X) of the subdiagram type whenever X0 is nonlinear. It remains unsolved whether rigidity holds when(X0, X) is an admissible pair NOT of the subdiagram type of nonlinear irreducible Hermitian symmetric spaces such that(X0, X) is nondegenerate for substructures. In this article we provide sufficient conditions for confirming rigidity of such an admissible pair. In a nutshell our solution consists of an enhancement of the method of propagation of sub-VMRT(varieties of minimal rational tangents) structures along chains of minimal rational curves as is already implemented in the proof of the Thickening Lemma of Mok and Zhang(2019). There it was proven that, for a sub-VMRT structure? : C(S) → S on a uniruled projective manifold(X, K) equipped with a minimal rational component and satisfying certain conditions so that in particular S is "uniruled" by open subsets of certain minimal rational curves on X, for a "good" minimal rational curve ? emanating from a general point x ∈ S, there exists an immersed neighborhood N?of ? which is in some sense "uniruled" by minimal rational curves. By means of the Algebraicity Theorem of Mok and Zhang(2019), S can be completed to a projective subvariety Z ? X. By the author’s solution of the Recognition Problem for irreducible Hermitian symmetric spaces of rank 2(2008)and under Condition(F), which symbolizes the fitting of sub-VMRTs into VMRTs, we further prove that Z is the image under a holomorphic immersion of X0 into X which induces an isomorphism on second homology groups. By studying C*-actions we prove that Z can be deformed via a one-parameter family of automorphisms to converge to X0 ? X. Under the additional hypothesis that all holomorphic sections in Γ(X0, TX |X0) lift to global holomorphic vector fields on X, we prove that the admissible pair(X0, X) is rigi
In this paper, we study radial operators in Toeplitz algebra on the weighted Bergman spaces over the polydisk by the(m, λ)-Berezin transform and find that a radial operator can be approximated in norm by Toeplitz ope...
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In this paper, we study radial operators in Toeplitz algebra on the weighted Bergman spaces over the polydisk by the(m, λ)-Berezin transform and find that a radial operator can be approximated in norm by Toeplitz operators without any conditions. We prove that the compactness of a radial operator is equivalent to the property of vanishing of its(0, λ)-Berezin transform on the boundary. In addition, we show that an operator S is radial if and only if its(m, λ)-Berezin transform is a separately radial function.
This article is devoted to characterizing the boundedness and compactness of multiplication operators from Hardy spaces to weighted Bergman spaces in the unit ball of ■.
This article is devoted to characterizing the boundedness and compactness of multiplication operators from Hardy spaces to weighted Bergman spaces in the unit ball of ■.
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