Hyperbolic equations, function spaces with exponential weights and Nemytskij operators

2003 ◽  
Vol 182 (4) ◽  
pp. 409-455 ◽  
Author(s):  
Gérard Bourdaud ◽  
Michael Reissig ◽  
Winfried Sickel
Keyword(s):  
Hyperbolic Equations ◽  
Function Spaces ◽  
Exponential Weights ◽  
Nemytskij Operators

Function Spaces with Exponential Weights I

1998 ◽  
Vol 189 (1) ◽  
pp. 221-242 ◽  
Author(s):  
Thomas Schott
Keyword(s):  
Function Spaces ◽  
Exponential Weights

Function Spaces with Exponential Weights II

1998 ◽  
Vol 196 (1) ◽  
pp. 231-250 ◽  
Author(s):  
Thomas Schott
Keyword(s):  
Function Spaces ◽  
Exponential Weights

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
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