Multipliers on Generalized Mixed Norm Sequence Spaces
Keyword(s):
Given1≤p,q≤∞and sequences of integers(nk)kand(nk′)ksuch thatnk≤nk′≤nk+1, the generalized mixed norm spaceℓℐ(p,q)is defined as those sequences(aj)jsuch that((∑j∈Ik|aj|p)1/p)k∈ℓqwhereIk={j∈ℕ0 s.t. nk≤j<nk′},k∈ℕ0. The necessary and sufficient conditions for a sequenceλ=(λj)jto belong to the space of multipliers(ℓℐ(r,s),ℓ𝒥(u,v)), for different sequencesℐand𝒥of intervals inℕ0, are determined.
1995 ◽
Vol 18
(4)
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pp. 681-688
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1981 ◽
Vol 24
(2)
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pp. 169-176
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2002 ◽
Vol 132
(1)
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pp. 245-254
2014 ◽
Vol 12
(02)
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pp. 195-208
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