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By means of the technique of real analysis and the weight functions, a few equivalent statements of a Hilbert-type integral inequality with the nonhomogeneous kernel in the whole plane are… Click to show full abstract
By means of the technique of real analysis and the weight functions, a few equivalent statements of a Hilbert-type integral inequality with the nonhomogeneous kernel in the whole plane are obtained. The constant factor related to the beta function is proved to be the best possible. As applications, the case of the homogeneous kernel, the operator expressions, and a few corollaries are considered.
Keywords:
type integral;
hilbert type;
integral inequality;
function;
related beta;
whole plane
Journal Title: Journal of Function Spaces
Year Published: 2018
Link to full text (if available)
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Journal Title: Journal of Function Spaces
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!