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

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...

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Detalles Bibliográficos
Autores principales: Zhong, Yanru, Huang, Meifa, Yang, Bicheng
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6154078/
https://www.ncbi.nlm.nih.gov/pubmed/30839620
http://dx.doi.org/10.1186/s13660-018-1834-4
Descripción
Sumario: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.

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