A Hilbert-type integral inequality in the whole plane related to the kernel of exponent function View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2018-12

AUTHORS

Yanru Zhong, Meifa Huang, Bicheng Yang

ABSTRACT

By using real analysis and weight functions, we obtain a few equivalent statements of a Hilbert-type integral inequality in the whole plane related to the kernel of exponent function with intermediate variables. The constant factor related to the gamma function is proved to be the best possible. We also consider some particular cases and the operator expressions. More... »

PAGES

234

Identifiers

URI

http://scigraph.springernature.com/pub.10.1186/s13660-018-1834-4

DOI

http://dx.doi.org/10.1186/s13660-018-1834-4

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1106960912

PUBMED

https://www.ncbi.nlm.nih.gov/pubmed/30839620


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