Academic Bibliography

 Search 200 years of publications by Ghent University researchers.
Advanced search
2 files | 495.52 KB
Add to list
  1. Search results
  2. A note on best constants for weighted...

A note on best constants for weighted integral Hardy inequalities on homogeneous groups

Michael Ruzhansky (UGent) , Anjali Shriwastawa and Bankteshwar Tiwari
(2024) RESULTS IN MATHEMATICS. 79(1).
Author
Organization
Project
Abstract
The main aim of this note is to prove sharp weighted integral Hardy inequality and conjugate integral Hardy inequality on homogeneous Lie groups with any quasi-norm for the range 1 < p <= q < infinity. We also calculate the precise value of sharp constants in respective inequalities, improving the result of Ruzhansky and Verma (Proc R Soc A 475:20180310, 2019) in the case of homogeneous groups.
Keywords
Applied Mathematics, Mathematics (miscellaneous)

Downloads

  • Download
    (...).pdf
    • full text (Published version)
    • |
    • UGent only
    • |
    • PDF
    • |
    • 350.99 KB
  • Download
    2202.05873.pdf
    • full text (Accepted manuscript)
    • |
    • open access
    • |
    • PDF
    • |
    • 144.53 KB

Citation

Please use this url to cite or link to this publication:

MLA
Ruzhansky, Michael, et al. “A Note on Best Constants for Weighted Integral Hardy Inequalities on Homogeneous Groups.” RESULTS IN MATHEMATICS, vol. 79, no. 1, 2024, doi:10.1007/s00025-023-02058-3.
APA
Ruzhansky, M., Shriwastawa, A., & Tiwari, B. (2024). A note on best constants for weighted integral Hardy inequalities on homogeneous groups. RESULTS IN MATHEMATICS, 79(1). https://doi.org/10.1007/s00025-023-02058-3
Chicago author-date
Ruzhansky, Michael, Anjali Shriwastawa, and Bankteshwar Tiwari. 2024. “A Note on Best Constants for Weighted Integral Hardy Inequalities on Homogeneous Groups.” RESULTS IN MATHEMATICS 79 (1). https://doi.org/10.1007/s00025-023-02058-3.
Chicago author-date (all authors)
Ruzhansky, Michael, Anjali Shriwastawa, and Bankteshwar Tiwari. 2024. “A Note on Best Constants for Weighted Integral Hardy Inequalities on Homogeneous Groups.” RESULTS IN MATHEMATICS 79 (1). doi:10.1007/s00025-023-02058-3.
Vancouver
1.
Ruzhansky M, Shriwastawa A, Tiwari B. A note on best constants for weighted integral Hardy inequalities on homogeneous groups. RESULTS IN MATHEMATICS. 2024;79(1).
IEEE
[1]
M. Ruzhansky, A. Shriwastawa, and B. Tiwari, “A note on best constants for weighted integral Hardy inequalities on homogeneous groups,” RESULTS IN MATHEMATICS, vol. 79, no. 1, 2024.
@article{01HP4NTRJ20587RRTJFWT1ZS0K,
  abstract     = {{The main aim of this note is to prove sharp weighted integral Hardy inequality and conjugate integral Hardy inequality on homogeneous Lie groups with any quasi-norm for the range 1 < p <= q < infinity. We also calculate the precise value of sharp constants in respective inequalities, improving the result of Ruzhansky and Verma (Proc R Soc A 475:20180310, 2019) in the case of homogeneous groups.}},
  articleno    = {{29}},
  author       = {{Ruzhansky, Michael and Shriwastawa, Anjali and Tiwari, Bankteshwar}},
  issn         = {{1422-6383}},
  journal      = {{RESULTS IN MATHEMATICS}},
  keywords     = {{Applied Mathematics,Mathematics (miscellaneous)}},
  language     = {{eng}},
  number       = {{1}},
  pages        = {{14}},
  title        = {{A note on best constants for weighted integral Hardy inequalities on homogeneous groups}},
  url          = {{http://doi.org/10.1007/s00025-023-02058-3}},
  volume       = {{79}},
  year         = {{2024}},
}
Altmetric
View in Altmetric
Web of Science
Times cited: