TY - JOUR
T1 - Fourier Multipliers on Anisotropic Mixed-Norm Spaces of Distributions
AU - Cleanthous, Galatia
AU - Georgiadis, Athanasios
AU - Nielsen, Morten
PY - 2019
Y1 - 2019
N2 - A new general Hörmander type condition involving anisotropies and mixed norms is introduced, and boundedness results for Fourier multipliers on anisotropic Besov and Triebel-Lizorkin spaces of distributions with mixed Lebesgue norms are obtained. As an application, the continuity of such operators is established on mixed Sobolev and Lebesgue spaces too. Some lifting properties and equivalent norms are obtained as well.
AB - A new general Hörmander type condition involving anisotropies and mixed norms is introduced, and boundedness results for Fourier multipliers on anisotropic Besov and Triebel-Lizorkin spaces of distributions with mixed Lebesgue norms are obtained. As an application, the continuity of such operators is established on mixed Sobolev and Lebesgue spaces too. Some lifting properties and equivalent norms are obtained as well.
UR - http://www.scopus.com/inward/record.url?scp=85069861980&partnerID=8YFLogxK
U2 - 10.7146/math.scand.a-113031
DO - 10.7146/math.scand.a-113031
M3 - Journal article
SN - 0025-5521
VL - 124
SP - 289
EP - 304
JO - Mathematica Scandinavica
JF - Mathematica Scandinavica
IS - 2
ER -