Some Intersections of the Weighted -Spaces
Keyword(s):
Let be a locally compact group an arbitrary family of the weight functions on and . The locally convex space as a subspace of is defined. Also, some sufficient conditions for that space to be a Banach space are provided. Furthermore, for an arbitrary subset of and a positive submultiplicative weight function on , Banach subspace of is introduced. Then some algebraic properties of , as a Banach algebra under convolution product, are investigated.
2012 ◽
Vol 85
(3)
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pp. 433-445
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2013 ◽
Vol 87
(3)
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pp. 353-365
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1982 ◽
Vol 34
(2)
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pp. 406-410
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1986 ◽
Vol 100
(1)
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pp. 137-143
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1970 ◽
Vol 17
(2)
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pp. 121-125
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Keyword(s):
1990 ◽
Vol 33
(1)
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pp. 71-78
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Keyword(s):