Amalgams of 𝐿^{𝑝} and 𝑙^{𝑞}

Abstract

The amalgam of L p and l q on the real line is the space {L p , l q ) consisting of functions which are locally in L p and have l q behavior at infinity in the sense that the L^-norms over the intervals [, n + 1] form an /^-sequence. For 1 < p, q < oo, the norm