Duong, Xuan Thinh; Xiao, Jie; Yan, Lixin Old and new Morrey spaces with heat kernel bounds. (English) Zbl 1133.42017 J. Fourier Anal. Appl. 13, No. 1, 87-111 (2007). The authors discuss the concept of Morrey space and introduce a new version of it. They replace the value of a parameter appearing in its definition with a quantity related to the infinitesimal generator of a suitable analytic semigroup. Using this idea, they get a characterization of the “new” Morrey space. They also discuss the equivalence of the new and the classical Morrey space. Reviewer: Giuseppe Di Fazio (Catania) Cited in 1 ReviewCited in 56 Documents MSC: 42B20 Singular and oscillatory integrals (Calderón-Zygmund, etc.) 42B35 Function spaces arising in harmonic analysis Keywords:semigroups PDFBibTeX XMLCite \textit{X. T. Duong} et al., J. Fourier Anal. Appl. 13, No. 1, 87--111 (2007; Zbl 1133.42017) Full Text: DOI arXiv