An Extension of the Inequality of John-Nirenberg
Keywords:John-Nirenberg, BMO, Calderón-Zygmund, function fi, characterization
The objetive of this note is to present an extension of the inequality of John-Nirenberg relative to a characterization of the spaces of bounded mean oscillation (spaces BMO). Another extension of this inequality is mentioned.
John, F.-Nirenberg, L. On Functions of Bounded Mean Oscillation. Comm. P. Appl. Math. 1961.
Ortiz, Alejandro. Tópicos sobre análisis armónico. Dpto. Matemática. UNT. Perú. 1988.
Ortiz, Alejandro. Casos particulares de la desigualdad de John-Nirenberg para espacios BMO. PRO MATHEMATICA. Vol.IV Nos.7-8. PUCP. 1990.
Spanne, S. Some Fuction Spaces Defined Using the Mean Oscillation over Cubes. Ann. Sup. Pisa. 1965.
Torchinsky, Alberto. (comunicación personal. 1984).
Torchinsky, Alberto. Real-Variable Methods in Harmonic Analysis. Academic Press. 1986.
How to Cite
LicenseThe authors who publish in this journal accept the following conditions:
1. The authors retain the copyright and assign to the journal the right of the first publication, with the work registered with the Creative Commons Attribution License, which allows third parties to use what is published whenever they mention the authorship of the work And to the first publication in this magazine.
2. Authors may make other independent and additional contractual arrangements for non-exclusive distribution of the version of the article published in this journal (eg, include it in an institutional repository or publish it in a book) provided they clearly state that The paper was first published in this journal.
3. Authors are encouraged to publish their work on the Internet (for example, on institutional or personal pages) before and during the review and publication process, as it can lead to productive exchanges and to a greater and more rapid dissemination Of the published work.