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Superposition operators on several function spaces
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DOI：10.1007/s44146-026-00234-9.png)
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Abstract
En 中文
For superposition operators we prove rigidity for mappings from H-q and H-infinity into Z(p) and into Q(log,p>0), obtain sharp integral characterizations for the actions from B-alpha to Q(log,p>0) and to F (2, q, s), and rule out the mappings M-p -> H-infinity and M-p -> B-alpha for nonconstant symbols. On the quadratic side we establish a Korenblum-type domination theorem in M(2, q, s) for f (z) = z(2) + a and g(z) = z (1 + a & strns;z(2)) with an explicit range for |a|. The arguments rely on automorphism normalization, finite-area test maps, the Hardy mean identity with beta-integral weights, and a monotonicity lemma.
Keywords:
Superposition operator
Hardy space
Bloch space
Journal
A
IF:
0.6
Papers:
39
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0