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Keywords:

  • Orlicz spaces;
  • Orlicz-Slobodetskii spaces;
  • trace;
  • trace operator;
  • Hardy inequality;
  • msc (2010) 46E35;
  • 26D10

Abstract

We prove an estimate for the trace operator in spaces whose weak derivatives are in Orlicz spaces without constraints upon the growth of the generating Young function. This extends the known trace theorems established in Orlicz-Sobolev spaces, where the complementary Young function had to fulfill the Δ2-condition.