Pith. sign in

REVIEW 1 cited by

On the boundedness of generalized integration operators on Hardy spaces

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2405.13920 v3 pith:5LGLBJ55 submitted 2024-05-22 math.CV math.FA

Nikolaos Chalmoukis , Georgios Nikolaidis This is my paper · ORCID
classification math.CVmath.FA
keywords hardyoperatorspacesboundednessgeneralizedintegrationactsaffirmative
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

We study the boundedness and compactness properties of the generalized integration operator $T_{g,a}$ when it acts between distinct Hardy spaces in the unit disc of the complex plane. This operator has been introduced by the first author in connection to a theorem of Cohn about factorization of higher order derivatives of functions in Hardy spaces. We answer in the affirmative a conjecture stated in the same work, therefore giving a complete characterization of the class of symbols $g$ for which the operator is bounded from the Hardy space $H^p$ to $H^q, \, 0<p,q<\infty.$

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Meromorphic Optimal domain of Integral Operators

    math.CV 2024-11 conditional novelty 6.0 of 10

    For BMOA symbols g1 and g2, the meromorphic optimal domains (T_{g1},H^p) and (T_{g2},H^p) coincide exactly when each symbol is the other symbol integrated against a bounded analytic function, with the two functions re...

Pith tools