His thesis was entitled "Beiträge zur Theorie der Hardy'schen Funktionenklassen" (translated, "Contributions to the theory of Hardy function classes"), and was supervised by Ernst Peschl and Walter Thimm.
For 0 < p ≤ q ≤ ∞, the class Hq is a subset of Hp, and the Hp-norm is increasing with p (it is a consequence of Hölder's inequality that the Lp-norm is increasing for probability measures, i.e. measures with total mass 1).
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