{ "id": "1609.05276", "version": "v1", "published": "2016-09-17T03:37:57.000Z", "updated": "2016-09-17T03:37:57.000Z", "title": "Characterization of inclusion relations between wiener amalgam and some classical spaces", "authors": [ "Weichao Guo", "Huoxiong Wu", "Guoping Zhao" ], "categories": [ "math.CA" ], "abstract": "In this paper, we establish the sharp conditions for the inclusion relations between Besov spaces $B_{p,q}$ and Wiener amalgam spaces $W_{p,q}^s$. We also consider the inclusion relations between local hardy spaces $h^p$ and Wiener amalgam spaces $W_{p,q}^s$, which essentially improve and extend the main results obtained by Cunanana, Kobayashib and Sugimotoa in [J. Funct. Anal. 268 (2015), 239-254]. In addition, we establish a mild characterization of inclusion relations between any Triebel and Wiener amalgam spaces, which relates some modern inequalities to classical inequalities.", "revisions": [ { "version": "v1", "updated": "2016-09-17T03:37:57.000Z" } ], "analyses": { "keywords": [ "inclusion relations", "wiener amalgam spaces", "classical spaces", "local hardy spaces", "besov spaces" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }