Abstract
Let G be a locally compact abelian group with dual Γ. We define
Ap(G)={f: f∈L1(G), f^∈Lp(Γ)}, 1≤p<∞,
with the norm ∥f∥Ap=∥f∥L1+∥f^∥Lp. We present a few open problems on Ap-spaces and prove some new results
Ap(G)={f: f∈L1(G), f^∈Lp(Γ)}, 1≤p<∞,
with the norm ∥f∥Ap=∥f∥L1+∥f^∥Lp. We present a few open problems on Ap-spaces and prove some new results
Original language | English |
---|---|
Pages (from-to) | 39-43 |
Number of pages | 5 |
Journal | Bulletin of Allahabad Mathematical society |
Volume | 17 |
Publication status | Published - 2002 |