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  • 1 University of Szeged Bolyai Institute Aradi Vértanúk Tere 1 6720 Szeged Hungary
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P. L. Ul'yanov has recently proved a new type of equivalence theorems in connection with the classical equivalence theorem by A. Plessner. Making use of certain results proved by us more than thirty years ago, we extend Ul'yanov's results into more general equivalence theorems.