TheD-Property of Finite Unions oft-Metrizable Spaces and Certain Function Spaces

Journal of Function Spaces and Applications ◽

10.1155/2013/612954 ◽

2013 ◽

Vol 2013 ◽

pp. 1-4

Author(s):

Xin Zhang ◽

Hongfeng Guo

Keyword(s):

Function Spaces ◽

Countable Tightness ◽

Metrizable Spaces

The additivity ofD-property is studied ont-metrizable spaces and certain function spaces. It is shown that a space of countable tightness is aD-space provided that it is the union of finitely manyt-metrizable subspaces, or function spacesCp(Xi)where eachXiis LindelöfΣ.

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Function spaces of completely metrizable spaces

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-1993-1160154-x ◽

1993 ◽

Vol 340 (2) ◽

pp. 871-883 ◽

Cited By ~ 17

Author(s):

Jan Baars ◽

Joost de Groot ◽

Jan Pelant

Keyword(s):

Function Spaces ◽

Metrizable Spaces ◽

Completely Metrizable

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On the countable tightness and the k-property of free topological groups over generalized metrizable spaces

Topology and its Applications ◽

10.1016/j.topol.2016.06.009 ◽

2016 ◽

Vol 209 ◽

pp. 198-206 ◽

Cited By ~ 1

Author(s):

Li-Hong Xie ◽

Shou Lin ◽

Piyu Li

Keyword(s):

Topological Groups ◽

Countable Tightness ◽

Metrizable Spaces

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Embeddings of κ-metrizable spaces into function spaces

Topology and its Applications ◽

10.1016/0166-8641(94)00113-h ◽

1995 ◽

Vol 65 (2) ◽

pp. 155-165 ◽

Cited By ~ 1

Author(s):

Masami Sakai

Keyword(s):

Function Spaces ◽

Metrizable Spaces

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Function spaces between crystal space and Fourier-transform space

Zeitschrift für Kristallographie ◽

10.1524/zkri.1959.112.1-6.22 ◽

1959 ◽

Vol 112 (1-6) ◽

pp. 22-32 ◽

Cited By ~ 3

Author(s):

A. L. Patterson

Keyword(s):

Fourier Transform ◽

Function Spaces ◽

Crystal Space

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Function Spaces and Nonsymmetric Norm Preserving Maps

Bulletin of the Belgian Mathematical Society - Simon Stevin ◽

10.36045/bbms/1547780432 ◽

2018 ◽

Vol 25 (5) ◽

pp. 729-740

Author(s):

Hadis Pazandeh ◽

Fereshteh Sady

Keyword(s):

Function Spaces

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The Mehler-Fock-Clifford transform and pseudo-differential operator on function spaces

Filomat ◽

10.2298/fil1908457p ◽

2019 ◽

Vol 33 (8) ◽

pp. 2457-2469

Author(s):

Akhilesh Prasad ◽

S.K. Verma

Keyword(s):

Differential Operator ◽

Function Spaces ◽

Pseudo Differential Operator ◽

Test Function ◽

Basic Properties ◽

Cone Function ◽

Translation Operators

In this article, weintroduce a new index transform associated with the cone function Pi ??-1/2 (2?x), named as Mehler-Fock-Clifford transform and study its some basic properties. Convolution and translation operators are defined and obtained their estimates under Lp(I, x-1/2 dx) norm. The test function spaces G? and F? are introduced and discussed the continuity of the differential operator and MFC-transform on these spaces. Moreover, the pseudo-differential operator (p.d.o.) involving MFC-transform is defined and studied its continuity between G? and F?.

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