Multipliers on Generalized Mixed Norm Sequence Spaces
Given 1≤p,q≤∞ and sequences of integers (nk)k and (nk′)k such that nk≤nk′≤nk+1, the generalized mixed norm space ℓℐ(p,q) is defined as those sequences (aj)j such that ((∑j∈Ik|aj|p)1/p)k∈ℓq where Ik={j∈ℕ0 s.t. nk≤j<nk′}, k∈ℕ0. The necessary and sufficient conditions for a sequence λ=(λj)j to belo...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2014-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/983273 |