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ON AN EXTENDED HARDY-HILBERToS INEQUALITY IN THE WHOLE PLANE

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By introducing independent parameters and applying the weight coefficients, we give an extended Hardy-Hilbert's inequality in the whole plane with a best possible constant factor. Furthermore, the equivalent forms, a… Click to show full abstract

By introducing independent parameters and applying the weight coefficients, we give an extended Hardy-Hilbert's inequality in the whole plane with a best possible constant factor. Furthermore, the equivalent forms, a few particular cases and the operator expressions are considered.

Keywords: hardy hilbertos; extended hardy; inequality whole; whole plane

Journal Title: Journal of Applied Analysis and Computation
Year Published: 2020

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