Functions of bounded (ϕ, p) mean oscillation

Castillo Castillo, René Erlín ^[1] ; Ramos Fernández, Julio César ^[2] ; Trousselot, Eduard ^[2]
1. [1] Ohio University
  
  Ohio University
  
  Township of Athens, Estados Unidos
2. [2] Universidad de Oriente
  
  Universidad de Oriente
  
  Venezuela
Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 27, Nº. 2, 2008, págs. 170-177
Idioma: inglés
DOI: 10.4067/S0716-09172008000200005
Enlaces
- Texto completo
Resumen
- In this paper we extend a result of Garnett and Jones to the case of spaces of homogeneous type.
Referencias bibliográficas
- Citas [1] J. Garnett and P. Jones. The distance in BMO to L∞, Ann. of Math., 108, pp. 373-393, (1978).
- [2] F. Jhon and L. Nirenberg. On functions of bounded mean oscillation, Comm. on Pure and Appl. Math., XIV, pp. 415-426, (1961).
- [3] R. Marcias and C. Segovia. Lipschitz functions on space of homogeneous type, Avd. Math., 33, pp. 257-270, (1979).
- [4] J. Mateu, P. Mattila, A. Nicolau and J. Orobitg. BMO for non-doubling measure, Duke Math. Journal, 102, pp. 533-565, (2000).