Paul Müller, Petro Yudytskiy,
"Interpolation for Hardy spaces: Marcinkiewicz decomposition, complex interpolation and holomorphic martingales"
, in Colloq. Math., Vol. 158, Nummer 1, Seite(n) 141-155, 2019
Interpolation for Hardy spaces: Marcinkiewicz decomposition, complex interpolation and holomorphic martingales
Sprache des Titels:
The real and complex interpolation spaces for the classical Hardy spaces H1 and H? were determined in 1983 by P. W. Jones. Due to the analytic constraints the associated Marcinkiewicz decomposition gives rise to a delicate approximation problem for the L1 metric. Specifically for f?Hp the size of
needs to be determined for any ??R+. In the present paper we develop a new set of truncation formulae in order to obtain the Marcinkiewicz decomposition of (H1,H?). We revisit the real and complex interpolation theory for Hardy spaces by examining our newly found formulae.