Advanced search
Publication Cover
Numerical Functional Analysis and Optimization Volume 42, 2021 - Issue 5
Submit an article Journal homepage
101
Views
1
CrossRef citations to date
0
Altmetric
Research Article

Some Bilinear Hardy–Steklov Type Integral Inequalities

Bouharket Benaissaa Faculty of Material Sciences, University of Tiaret, Tiaret, Algeria;b Laboratory of Informatics and Mathematics, University of Tiaret, Tiaret, AlgeriaCorrespondence[email protected]
Pages 510-522 | Received 06 Jul 2020, Accepted 23 Feb 2021, Published online: 19 Mar 2021

References

  • Hardy, G. H. (1928). Notes on some points in the integral calculus. Messenger Math. 57:12–16.
  • Pachpatte, B. G. (1995). On Hardy-type integral inequalities for functions of two variables. Demons. Math. XXVIII(2):239–244.
  • Bernardis, A. L., Martin-Reyes, F. J., Salvador, P. O. (2007). Weighted inequalities for Hardy–Steklov operators. Can. J. Math. 59(2):276–295. DOI: 10.4153/CJM-2007-011-x.
  • Burenkov, V., Jain, P., Tararykova, T. (2007). On Hardy–Steklov and geometric Steklov operators. Math. Nachr. 280(11):1244–1256. DOI: 10.1002/mana.200410550.
  • Grafakos, L., Li, X., Yang, D. (1998). Bilinear operators on Herz-type Hardy spaces. Trans. Amer. Math. Soc. 350(3):1249–1275. DOI: 10.1090/S0002-9947-98-01878-9.
  • Jain, P., Gupta, B. (2003). Compactness of Hardy–Steklov operator. J. Math. Anal. Appl. 288(2):680–691. DOI: 10.1016/j.jmaa.2003.09.036.
  • Jain, P., Kanjilal, S., Stepanov, V. D., Ushakova, E. P. (2018). Bilinear Hardy–Steklov operators. Math. Notes 104(5–6):823–832. DOI: 10.1134/S0001434618110275.
  • Pachpatte, B. G. (1999). On some generalizations of Hardy’s integral inequality. J. Math. Anal. Appl. 234(1):15–30. DOI: 10.1006/jmaa.1999.6294.
  • Sawyer, E. (1985). Weighted inequalities for the two-dimensional Hardy operator. Studia Math. 82(1):1–16. DOI: 10.4064/sm-82-1-1-16.
  • Stepanov, V. D., Ushakova, E. P. (2010). On boundedness of certain class of Hardy-Steklov type operators in Lebesgue spaces. Banach J. Math. Anal. 4(1):28–52. DOI: 10.15352/bjma/1272374670.
  • Ushakova, E. P. (2017). Alternative boundedness characteristics for the Hardy–Steklov operator. Eurasian Math. J. 8(2):74–96.
  • Ushakova, E.P. (2013). Estimates for Schatten–von Neumann norms of Hardy–Steklov operators. J. Approx. Theory 173:158–175. DOI: 10.1016/j.jat.2013.06.001.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.