An Extension of the Inequality of John-Nirenberg
DOI:
https://doi.org/10.17268/sel.mat.2019.01.06Keywords:
John-Nirenberg, BMO, Calderón-Zygmund, function fi, characterizationAbstract
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.
References
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.
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