A Hilbert-Type Integral Inequality in the Whole Plane with the Homogeneous Kernel of Degree −2

By applying the way of real and complex analysis and estimating the weight functions, we build a new Hilbert-type integral inequality in the whole plane with the homogeneous kernel of degree −2 involving some parameters and the best constant factor. We also consider its reverse. The equivalent forms...

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Veröffentlicht in:	Journal of inequalities and applications 2011-01, Vol.2011 (1), p.401428
Hauptverfasser:	Xin, Dongmei, Yang, Bicheng
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Applications of Mathematics Construction Equivalence Estimating Inequalities Integrals Kernels Mathematics Mathematics and Statistics Planes Research Article Weight function
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Beschreibung
Zusammenfassung:	By applying the way of real and complex analysis and estimating the weight functions, we build a new Hilbert-type integral inequality in the whole plane with the homogeneous kernel of degree −2 involving some parameters and the best constant factor. We also consider its reverse. The equivalent forms and some particular cases are obtained.
ISSN:	1029-242X 1025-5834 1029-242X
DOI:	10.1155/2011/401428