Onesied approximation and real interpolation

• Autores: E. Matvejev, N. Krugljak
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 48, Fasc. 4-6, 1997, págs. 619-634
• Idioma: inglés
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• Resumen

  • It is proved that the reiteration theorem is not valid for the spaces $A^{\theta,q}_p$ defined by V. Popov by means of onesided approximation. It is also proved that a class of cones, defined by onesided approximation of piecewise linear functions on the interval [0, 1], is stable for the real interpolation method.