Hardy operators on Euclidean spaces and related topics

Sharp bounds for Hardy operators on Lebesgue spaces -- Hardy operators on other function spaces -- Weighted inequalities for Hardy type operators -- Commutators of Hardy operators -- Hardy operators on Heisenberg groups and p-adic fields -- Sharp constants for Hausdorff q-inequalities.

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Bibliographische Detailangaben
1. Verfasser:	Lu, Shanzhen (VerfasserIn)
Weitere Verfasser:	Fu, Zunwei (VerfasserIn), Zhao, Fayou (VerfasserIn), Shi, Shaoguang (VerfasserIn)
Format:	UnknownFormat
Sprache:	eng
Veröffentlicht:	New Jersey, London, Singapore, Beijing, Shanghai, Hong Kong, Taipei, Chennai, Tokoy World Scientific 2023
Schriftenreihe:	Series on analysis, applications and computation vol. 11
Schlagworte:	Hardy spaces > Generalized spaces > Hardy-Ungleichung > Integraloperator > Dimension n > Verallgemeinerung > Gewichtete Ungleichung > Kommutator > Heisenberg-Gruppe
Online Zugang:	Inhaltsverzeichnis zbMATH
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Beschreibung
Zusammenfassung:	Sharp bounds for Hardy operators on Lebesgue spaces -- Hardy operators on other function spaces -- Weighted inequalities for Hardy type operators -- Commutators of Hardy operators -- Hardy operators on Heisenberg groups and p-adic fields -- Sharp constants for Hausdorff q-inequalities. "The book provides many methods to deal with the higher dimensional Hardy operators, such as how to calculate the operator norms, the characterizations of n-dimensional Hardy operators, the compactness of n-dimensional Hardy operators and so on. The book also lists some new progress on the Hausdorff operator which is regarded as the extensions of n-dimensional Hardy operator"--
Beschreibung:	Includes bibliographical references (pages 191-199) and index
Beschreibung:	xi, 202 Seiten Illustrationen
ISBN:	9789811253676 978-981-12-5367-6