Imbedding theorems for abstract function spaces and the complete continuity of the imbedding operator

1970 ◽  
Vol 10 (4) ◽  
pp. 640-663
Author(s):  
V. B. Korotkov
Keyword(s):  
Function Spaces ◽  
Complete Continuity ◽  
Abstract Function ◽  
Abstract Function Spaces

Continuous Wavelet Transforms of Multivariable Abstract Function Spaces

2010 ◽  
Vol 159 ◽  
pp. 199-204
Author(s):  
Han Zhang Qu ◽  
Jing Yang
Keyword(s):  
Wavelet Transform ◽  
Wavelet Transforms ◽  
Integral Kernel ◽  
Function Spaces ◽  
Continuous Wavelet ◽  
Norm Convergence ◽  
Continuous Wavelet Transforms ◽  
Abstract Function ◽  
One Dimensional ◽  
Abstract Function Spaces

An abstract function space is proposed and discussed. One-dimensional continuous wavelet transform is applied to the continuous wavelet transforms of the multivariable abstract function spaces .The reconstruction formulas of it produced by the integral kernel of the transform multivariable abstract functions and those of it produced by the integral kernel of the multivariable abstract functions which are difference from the transform multivariable abstract functions are obtained in the weak topology as well as in the sense of norm convergence.

Function Spaces and Nonsymmetric Norm Preserving Maps

2018 ◽  
Vol 25 (5) ◽  
pp. 729-740
Author(s):  
Hadis Pazandeh ◽  
Fereshteh Sady
Keyword(s):  
Function Spaces

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

Filomat ◽  
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?.

Topologies Between Compact and Uniform Convergence on Function Spaces, II

1992 ◽  
Vol 18 (1) ◽  
pp. 176 ◽  
Author(s):  
Kundu ◽  
McCoy ◽  
Raha
Keyword(s):  
Uniform Convergence ◽  
Function Spaces

PREVALENT PROPERTIES IN FUNCTION SPACES

1998 ◽  
Vol 24 (1) ◽  
pp. 113
Author(s):  
Shi ◽  
Thomson
Keyword(s):  
Function Spaces
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