Predual spaces of Morrey spaces with non-doubling measures. (English) Zbl 1193.42094

Sawano, Yoshihiro; Tanaka, Hitoshi

Tokyo J. Math. 32, No. 2, 471-486 (2009).

Summary: We investigate the predual of the Morrey spaces with non-doubling measures. We also study the modified maximal function, singular integrals and commutators on the predual spaces.

MSC:

42B35	Function spaces arising in harmonic analysis
46E30	Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)

Keywords:

Morrey spaces; predual; maximal operators; singular integral operators

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