The parameter conditions for the existence of the Hilbert-type multiple integral inequality and its best constant factor
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Publication:2218252
DOI10.1007/S43034-020-00087-5zbMath1458.26023OpenAlexW3092708982MaRDI QIDQ2218252
Yong Hong, Qiliang Huang, Qiang Chen
Publication date: 15 January 2021
Published in: Annals of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s43034-020-00087-5
operator normhomogeneous kernelbounded operatorHilbert-type multiple integral inequalityparameter condition
Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10)
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Cites Work
- A half-discrete Hilbert-type inequality in the whole plane with multiparameters
- A reverse Mulholland-type inequality in the whole plane
- Equivalent conditions and applications of a class of Hilbert-type integral inequalities involving multiple functions with quasi-homogeneous kernels
- The necessary and sufficient conditions for the existence of a kind of Hilbert-type multiple integral inequality with the non-homogeneous kernel and its applications
- Equivalent properties of a Hilbert-type integral inequality with the best constant factor related to the Hurwitz zeta function
- Equivalent property of a Hilbert-type integral inequality related to the beta function in the whole plane
- On a Hilbert-type integral inequality in the whole plane related to the extended Riemann zeta function
- Necessary and sufficient conditions for the validity of Hilbert type integral inequalities with a class of quasi-homogeneous kernels and its application in operator theory
- A MORE ACCURATE MULTIDIMENSIONAL HARDY-HILBERT'S INEQUALITY
- On a new Hardy-Mulholland-type inequality and its more accurate form
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