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$A$-integrable martingale sequences and application to Haar series

In: Tatra Mountains Mathematical Publications, vol. 19, no. 1
Valentin Skvortsov
Detaily:
Rok, strany: 2000, 127 - 133
O článku:
It is proved that the uniform $A$-integrability of partial sums of a Haar series convergent almost everywhere to an $A$-integrable function $f$ is a sufficient condition for this series to be $A$-Fourier series of $f$. At the same time there exists a Haar series which is everywhere convergent to an $A$-integrable function and which is not $A$-Fourier series of this function.
Ako citovať:
ISO 690:
Skvortsov, V. 2000. $A$-integrable martingale sequences and application to Haar series. In Tatra Mountains Mathematical Publications, vol. 19, no.1, pp. 127-133. 1210-3195.

APA:
Skvortsov, V. (2000). $A$-integrable martingale sequences and application to Haar series. Tatra Mountains Mathematical Publications, 19(1), 127-133. 1210-3195.