Revista Matemática Complutense

, Volume 27, Issue 2, pp 657–676

Interpolation in variable exponent spaces


DOI: 10.1007/s13163-013-0135-1

Cite this article as:
Almeida, A. & Hästö, P. Rev Mat Complut (2014) 27: 657. doi:10.1007/s13163-013-0135-1


In this paper we study both real and complex interpolation in the recently introduced scales of variable exponent Besov and Triebel–Lizorkin spaces. We also take advantage of some interpolation results to study a trace property and some pseudodifferential operators acting in the variable index Besov scale.


Non-standard growthVariable exponentBesov space Triebel–Lizorkin spaceReal interpolationComplex interpolationTrace operatorPseudodifferential operators

Mathematics Subject Classification (2000)


Copyright information

© Universidad Complutense de Madrid 2013

Authors and Affiliations

  1. 1.Center for Research and Development in Mathematics and Applications, Department of MathematicsUniversity of AveiroAveiroPortugal
  2. 2.Department of Mathematical SciencesUniversity of OuluOulufFinland