This memoir describes a new way of looking at the classical inequalities. The most famous such results, (those of Hilbert, Hardy, and Copson) may be interpreted as inclusion relationships, ℓ[superscript italic]p [subset equality symbol] [italic capital]Y, between certain (Banach…
This memoir describes a new way of looking at the classical inequalities. The most famous such results, (those of Hilbert, Hardy, and Copson) may be interpreted as inclusion relationships, ℓ[superscript italic]p [subset equality symbol] [italic capital]Y, between certain (Banach…
Introduction General results about H.I. spaces Schreier families and repeated averages The space ${X= T [G, (\mathcal{S}_{n_j}, {\tfrac {1}{m_j})}_{j}, D]}$ and the auxiliary space ${T_{ad}}$ The basic inequality Special convex combinations in $X$ Rapidly increasing sequences De…
