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122. Musielak-Orlicz-Sobolev spaces on metric measure spaces

Creator:
Ohno, Takao and Shimomura, Tetsu
Format:
print, bez média, and svazek
Type:
model:article and TEXT
Subject:
matematika, mathematics, Sobolev space, metric measure space, Sobolev’s inequality, Hajłasz-Sobolev space, Newton-Sobolev space, Musielak-Orlicz space, capacity, variable exponent, 13, and 51
Language:
English
Description:
Our aim in this paper is to study Musielak-Orlicz-Sobolev spaces on metric measure spaces. We consider a Hajłasz-type condition and a Newtonian condition. We prove that Lipschitz continuous functions are dense, as well as other basic properties. We study the relationship between these spaces, and discuss the Lebesgue point theorem in these spaces. We also deal with the boundedness of the Hardy-Littlewood maximal operator on Musielak-Orlicz spaces. As an application of the boundedness of the Hardy-Littlewood maximal operator, we establish a generalization of Sobolev’s inequality for Sobolev functions in Musielak-Orlicz-Hajłasz-Sobolev spaces., Takao Ohno, Tetsu Shimomura., and Obsahuje seznam literatury
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

123. Musielak-Orlicz-Sobolev spaces with zero boundary values on metric measure spaces

Creator:
Ohno, Takao and Shimomura, Tetsu
Format:
print, bez média, and svazek
Type:
model:article and TEXT
Subject:
matematika, Sobolevovy prostory, mathematics, Sobolev spaces, metric measure space, Hajłasz-Sobolev space, Musielak-Orlicz space, capacity, variable exponent, zero boundary values, 13, and 51
Language:
English
Description:
We define and study Musielak-Orlicz-Sobolev spaces with zero boundary values on any metric space endowed with a Borel regular measure. We extend many classical results, including completeness, lattice properties and removable sets, to Musielak-Orlicz-Sobolev spaces on metric measure spaces. We give sufficient conditions which guarantee that a Sobolev function can be approximated by Lipschitz continuous functions vanishing outside an open set. These conditions are based on Hardy type inequalities., Takao Ohno, Tetsu Shimomura., and Obsahuje seznam literatury
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

124. n-angulated quotient categories induced by mutation pairs

Creator:
Lin, Zengqiang
Format:
print, bez média, and svazek
Type:
model:article and TEXT
Subject:
matematika, mathematics, n-angulated category, quotient category, mutation pair, 13, and 51
Language:
English
Description:
Geiss, Keller and Oppermann (2013) introduced the notion of n-angulated category, which is a “higher dimensional” analogue of triangulated category, and showed that certain (n-2)-cluster tilting subcategories of triangulated categories give rise to n-angulated categories. We define mutation pairs in n-angulated categories and prove that given such a mutation pair, the corresponding quotient category carries a natural n-angulated structure. This result generalizes a theorem of Iyama-Yoshino (2008) for triangulated categories., Zengqiang Lin., and Obsahuje seznam literatury
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

125. Nested matrices and inverse M-matrices

Creator:
Stuart, Jeffrey L
Format:
print, bez média, and svazek
Type:
model:article and TEXT
Subject:
matematika, mathematics, nested matrix, tridiagonal matrix, inverse M-matrix, principal minor, determinant, QR-factorization, 13, and 51
Language:
English
Description:
Given a sequence of real or complex numbers, we construct a sequence of nested, symmetric matrices. We determine the LU- and QR-factorizations, the determinant and the principal minors for such a matrix. When the sequence is real, positive and strictly increasing, the matrices are strictly positive, inverse M-matrices with symmetric, irreducible, tridiagonal inverses., Jeffrey L. Stuart., and Obsahuje seznam literatury
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

126. Neutral set differential equations

Creator:
Abbas, Umber, Lupulescu, Vasile, O’Regan, Donald, and Younus, Awais
Format:
print, bez média, and svazek
Type:
model:article and TEXT
Subject:
matematika, mathematics, neutral type, existence, uniqueness, continous dependence, 13, and 51
Language:
English
Description:
The aim of this paper is to establish an existence and uniqueness result for a class of the set functional differential equations of neutral type \left\{ {\begin{array}{*{20}c} {D_H X(t) = F(t,X_t ,D_H X_t ),} // {\left. X \right|_{\left[ { - r,0} \right]} = \Psi ,} // \end{array} } \right. where F: [0, b]× C_{0}x L_{0}^{1}\rightarrow K_{c}(E)) is a given function, Kc(E) is the family of all nonempty compact and convex subsets of a separable Banach space E, C0 denotes the space of all continuous set-valued functions X from [−r, 0] into Kc(E), L_{0}^{1} is the space of all integrally bounded set-valued functions X: [−r, 0] → Kc(E), Ψ \in C_{0} and D_{H} is the Hukuhara derivative. The continuous dependence of solutions on initial data and parameters is also studied., Umber Abbas, Vasile Lupulescu, Donald O’Regan, Awais Younus., and Obsahuje seznam literatury
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

127. New characterizations for weighted composition operator from Zygmund type spaces to Bloch type spaces

Creator:
Guo, Xin-Cui and Zhou, Ze-Hua
Format:
print, bez média, and svazek
Type:
model:article and TEXT
Subject:
matematika, mathematics, weighted composition operator, Zygmund type space, Bloch type space, essential norm, 13, and 51
Language:
English
Description:
Let u be a holomorphic function and φ a holomorphic self-map of the open unit disk D in the complex plane. We provide new characterizations for the boundedness of the weighted composition operators uCφ from Zygmund type spaces to Bloch type spaces in D in terms of u, φ, their derivatives, and φn, the n-th power of φ. Moreover, we obtain some similar estimates for the essential norms of the operators uCφ, from which sufficient and necessary conditions of compactness of uCφ follows immediately., Xin-Cui Guo, Ze-Hua Zhou., and Obsahuje seznam literatury
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

128. New results about semi-positive matrices

Creator:
Dorsey, Jonathan, Gannon, Tom, Charles R Johnson, and Turnansky, Morrison
Format:
print, bez média, and svazek
Type:
model:article and TEXT
Subject:
Matematika, matematika, mathematics, sign semipositivity, semipositive matrix, M-matrix, spectrum, equivalence, 13, and 51
Language:
English
Description:
Our purpose is to present a number of new facts about the structure of semipositive matrices, involving patterns, spectra and Jordon form, sums and products, and matrix equivalence, etc. Techniques used to obtain the results may be of independent interest. Examples include: any matrix with at least two columns is a sum, and any matrix with at least two rows, a product, of semipositive matrices. Any spectrum of a real matrix with at least 2 elements is the spectrum of a square semipositive matrix, and any real matrix, except for a negative scalar matrix, is similar to a semipositive matrix. M-matrices are generalized to the non-square case and sign patterns that require semipositivity are characterized., Jonathan Dorsey, Tom Gannon, Charles R. Johnson, Morrison Turnansky., and Obsahuje seznam literatury
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

129. Nice connecting paths in connected components of sets of algebraic elements in a Banach algebra

Creator:
Makai Jr., Endre and Jaroslav Zemánek
Format:
print, bez média, and svazek
Type:
model:article and TEXT
Subject:
matematika, mathematics, Banach algebra, C*-algebra, (self-adjoint) idempotent, (local) pathwise connectedness, connected component of (self-adjoint) algebraic elements, similarity, analytic path, polynomial path, polygonal path, centre of a Banach algebra, distance of connected components, 13, and 51
Language:
English
Description:
Generalizing earlier results about the set of idempotents in a Banach algebra, or of self-adjoint idempotents in a C*-algebra, we announce constructions of nice connecting paths in the connected components of the set of elements in a Banach algebra, or of self-adjoint elements in a C*-algebra, that satisfy a given polynomial equation, without multiple roots. In particular, we prove that in the Banach algebra case every such non-central element lies on a complex line, all of whose points satisfy the given equation. We also formulate open questions., Endre Makai Jr., Jaroslav Zemánek., and Obsahuje seznam literatury
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

130. Non supercyclic subsets of linear isometries on Banach spaces of analytic functions

Creator:
Moradi, Abbas, Hedayatian, Karim, Robati, Bahram Khani, and Ansari, Mohammad
Format:
print, bez média, and svazek
Type:
model:article and TEXT
Subject:
matematika, mathematics, supercyclicity, hypercyclic operator, semigroup, isometry, 13, and 51
Language:
English
Description:
Let X be a Banach space of analytic functions on the open unit disk and Γ a subset of linear isometries on X. Sufficient conditions are given for non-supercyclicity of Γ. In particular, we show that the semigroup of linear isometries on the spaces S^{p} (p>1), the little Bloch space, and the group of surjective linear isometries on the big Bloch space are not supercyclic. Also, we observe that the groups of all surjective linear isometries on the Hardy space H^{p} or the Bergman space L_{a}^{p} (1< p< ∞,p\neq 2) are not supercyclic., Abbas Moradi, Karim Hedayatian, Bahram Khani Robati, Mohammad Ansari., and Obsahuje seznam literatury
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public