Note on the growth of Area functions
Peyo Stoilov, Roumyana Gesheva
TL;DR
This paper presents a new proof of existing inequalities related to the area functions of multipliers of fractional Cauchy transforms, enhancing theoretical understanding in complex analysis.
Contribution
It provides a novel proof of Hallenbeck's inequalities, offering deeper insight into the behavior of area functions in fractional Cauchy transforms.
Findings
New proof of Hallenbeck's inequalities
Enhanced understanding of area functions
Theoretical advancement in complex analysis
Abstract
A new proof of the inequalities of D. J. Hallenbeck for the Area functions of multipliers of fractional Cauchy transforms is given.
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Taxonomy
TopicsAdvanced Harmonic Analysis Research · Differential Equations and Boundary Problems · Functional Equations Stability Results