James Stewart, Saleem Watson, "Irregular amalgams", International Journal of Mathematics and Mathematical Sciences, vol. 9, Article ID 809292, 10 pages, 1986. https://doi.org/10.1155/S0161171286000418
The amalgam of and consists of those functions for which the sequence of -norms over the intervals is in . These spaces have been studied in several recent papers. Here we replace the intervals by a cover of the real line consisting of disjoint half-open intervals each of the form , and investigate which properties of carry over to these irregular amalgams . In particular, we study how varies as , , and vary and determine conditions under which translation is continuous.
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