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Forum Mathematicum

Managing Editor: Bruinier, Jan Hendrik

Ed. by Blomer, Valentin / Cohen, Frederick R. / Droste, Manfred / Duzaar, Frank / Echterhoff, Siegfried / Frahm, Jan / Gordina, Maria / Shahidi, Freydoon / Sogge, Christopher D. / Takayama, Shigeharu / Wienhard, Anna

IMPACT FACTOR 2018: 0.867

CiteScore 2018: 0.71

SCImago Journal Rank (SJR) 2018: 0.898
Source Normalized Impact per Paper (SNIP) 2018: 0.964

Mathematical Citation Quotient (MCQ) 2018: 0.71

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Volume 27, Issue 3


On functions of bounded Λ-variation and integral smoothness

Martin Lind
Published Online: 2013-04-16 | DOI: https://doi.org/10.1515/forum-2012-0186


We obtain a necessary and sufficient condition for embeddings of integral Lipschitz classes Lip(α;p) into classes ΛBV of functions of bounded Λ-variation.

Keywords: Generalized bounded variation; Λ-variation; moduli of continuity; Lipschitz classes

MSC: 26A45; 46E35

About the article

Received: 2012-12-27

Revised: 2013-03-04

Published Online: 2013-04-16

Published in Print: 2015-05-01

Citation Information: Forum Mathematicum, Volume 27, Issue 3, Pages 1523–1538, ISSN (Online) 1435-5337, ISSN (Print) 0933-7741, DOI: https://doi.org/10.1515/forum-2012-0186.

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