Let E and F be Banach spaces over the same field K which is either the field R or the field C.The character of continuous mappings in P a(E;F) which is a vector space of all polynomials from E into F is discussed.In ...Let E and F be Banach spaces over the same field K which is either the field R or the field C.The character of continuous mappings in P a(E;F) which is a vector space of all polynomials from E into F is discussed.In particular,some equivalent conditions for a mapping P in P a(E;F) to be continuous are established.This is very important and useful to determine a mapping P in P a(E;F) to be either continuous or not in theory or practice.展开更多
In this paper, two concepts of relative compactness-the relative strong fuzzy compactness and the relative ultra-fuzzy compactness are defined in L-topological spaces for an arbitrary L-set. Properties of relative str...In this paper, two concepts of relative compactness-the relative strong fuzzy compactness and the relative ultra-fuzzy compactness are defined in L-topological spaces for an arbitrary L-set. Properties of relative strong fuzzy sets and relative ultra-fuzzy compact sets are studied in detail and some characteristic theorems are given. Some examples are illustrated.展开更多
In this paper, the author discusses the stable F-harmonic maps, and obtains the Liouville-type theorem for F-harmonic maps into δ-pinched manifolds, which improves the ones in [3] due to M Ara.
This paper deals with the pointwise multipliers from space F（p, q, s） to space βα on the unit ball B of C^n. The multiplier spaces M（F（p, q, s）,βα） are fully characterized.
文摘Let E and F be Banach spaces over the same field K which is either the field R or the field C.The character of continuous mappings in P a(E;F) which is a vector space of all polynomials from E into F is discussed.In particular,some equivalent conditions for a mapping P in P a(E;F) to be continuous are established.This is very important and useful to determine a mapping P in P a(E;F) to be either continuous or not in theory or practice.
基金the NSFC(10271069)the Foundation of Weinan Teacher's College(08YKZ053)
文摘In this paper, two concepts of relative compactness-the relative strong fuzzy compactness and the relative ultra-fuzzy compactness are defined in L-topological spaces for an arbitrary L-set. Properties of relative strong fuzzy sets and relative ultra-fuzzy compact sets are studied in detail and some characteristic theorems are given. Some examples are illustrated.
文摘In this paper, the author discusses the stable F-harmonic maps, and obtains the Liouville-type theorem for F-harmonic maps into δ-pinched manifolds, which improves the ones in [3] due to M Ara.
基金the National Natural Science Foundation of China(19871026).
文摘This paper deals with the pointwise multipliers from space F（p, q, s） to space βα on the unit ball B of C^n. The multiplier spaces M（F（p, q, s）,βα） are fully characterized.
