• Sorted by Date • Classified by Publication Type •
G. Cleanthous, A. G. Georgiadis, and M. Nielsen. Molecular decomposition and Fourier multipliers for holomorphic Besov and Triebel--Lizorkin spaces. Monatshefte für Mathematik, 188(3):467–493, 2019.
Smooth molecular decompositions for holomorphic Besov and Triebel--Lizorkin spaces on the unit disk of the complex plane are constructed. The decompositions are used to obtain a boundedness result for Fourier multipliers. As further applications, we provide equivalent norms for the spaces under consideration, we consider the implications of the results on Hardy and Hardy--Sobolev spaces, and we study boundedness of coefficient multipliers.
@article{Cleanthous2019,
Abstract = {Smooth molecular decompositions for holomorphic Besov and Triebel--Lizorkin spaces on the unit disk of the complex plane are constructed. The decompositions are used to obtain a boundedness result for Fourier multipliers. As further applications, we provide equivalent norms for the spaces under consideration, we consider the implications of the results on Hardy and Hardy--Sobolev spaces, and we study boundedness of coefficient multipliers.},
Author = {Cleanthous, G. and Georgiadis, A. G. and Nielsen, M.},
Bib2Html_Dl_Html = {https://doi.org/10.1007/s00605-018-1251-2},
Bib2Html_Pubtype = {Journal Article},
Date-Added = {2019-03-04 15:20:23 +0100},
Date-Modified = {2019-03-04 15:21:23 +0100},
Day = {01},
Issn = {1436-5081},
Journal = {Monatshefte f{\"u}r Mathematik},
Number = {3},
Pages = {467--493},
Title = {Molecular decomposition and Fourier multipliers for holomorphic Besov and Triebel--Lizorkin spaces},
Volume = {188},
Year = {2019},
Bdsk-Url-1 = {https://doi.org/10.1007/s00605-018-1251-2}}
Generated by bib2html.pl (written by Patrick Riley ) on Mon Mar 04, 2019 16:00:22