SOME WEIGHTED SUM AND PRODUCT INEQUALITIES IN LP SPACES AND THEIR APPLICATIONS

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BROWN R.C.

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ISSN: 2588-4824

Journal Paper

Paper Information

Journal: BANACH JOURNAL OF MATHEMATICAL ANALYSIS Year:2008 | Volume:2 | Issue:2 Page(s): 42-58

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Title

SOME WEIGHTED SUM AND PRODUCT INEQUALITIES IN LP SPACES AND THEIR APPLICATIONS

Author(s)

BROWN R.C. | Issue Writer Certificate

Keywords

WEIGHTED SUM INEQUALITIES

WEIGHTED PRODUCT INEQUALITIES

STURM LIOUVILLE OPERATORS

LIMIT-POINT CONDITIONS

RELATIVELY BOUNDED PERTURBATIONS

Abstract

We survey some old and new results concerning weighted norm inequalities of sum and product form and apply the theory to obtain limit point conditions for second order differential operators of Sturm-Liouville form defined in Lp spaces. We also extend results of Anderson and Hinton by giving necessary and sufficient criteria that perturbations of such operators be relatively bounded. Our work is in part a generalization of the classical Hilbert space theory of Sturm-Liouville operators to a Banach space setting.

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APA: Copy

BROWN, R.C.. (2008). SOME WEIGHTED SUM AND PRODUCT INEQUALITIES IN L^PSPACES AND THEIR APPLICATIONS. BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2(2), 42-58. SID. https://sid.ir/paper/316867/en

Vancouver: Copy

BROWN R.C.. SOME WEIGHTED SUM AND PRODUCT INEQUALITIES IN L^PSPACES AND THEIR APPLICATIONS. BANACH JOURNAL OF MATHEMATICAL ANALYSIS[Internet]. 2008;2(2):42-58. Available from: https://sid.ir/paper/316867/en

IEEE: Copy

R.C. BROWN, “SOME WEIGHTED SUM AND PRODUCT INEQUALITIES IN L^PSPACES AND THEIR APPLICATIONS,” BANACH JOURNAL OF MATHEMATICAL ANALYSIS, vol. 2, no. 2, pp. 42–58, 2008, [Online]. Available: https://sid.ir/paper/316867/en

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