An Hp scale for complete Pick spaces

• We define by interpolation a scale analogous to the Hardy Hp scale for complete Pick spaces, and establish some of the basic properties of the resulting spaces, which we call Hp. In particular, we obtain an Hp-Hq duality and establish sharp pointwise estimates for functions in Hp

Ämnesord

NATURVETENSKAP  -- Matematik -- Matematisk analys (hsv//swe)

NATURAL SCIENCES  -- Mathematics -- Mathematical Analysis (hsv//eng)

Nyckelord

Drury-Arveson space

H space

Hankel operator

Interpolation space

Nevanlinna-Pick kernel

Reproducing kernel Hilbert space

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