Rearrangement and continuity properties of B M O ( φ ) functions on spaces of homogeneous type

Hugo Aimar

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1991)

  • Volume: 18, Issue: 3, page 353-362
  • ISSN: 0391-173X

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Aimar, Hugo. "Rearrangement and continuity properties of $BMO(\phi )$ functions on spaces of homogeneous type." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 18.3 (1991): 353-362. <http://eudml.org/doc/84105>.

@article{Aimar1991,
author = {Aimar, Hugo},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {BMO; continuity; space of homogeneous type; non-decreasing rearrangement},
language = {eng},
number = {3},
pages = {353-362},
publisher = {Scuola normale superiore},
title = {Rearrangement and continuity properties of $BMO(\phi )$ functions on spaces of homogeneous type},
url = {http://eudml.org/doc/84105},
volume = {18},
year = {1991},
}

TY - JOUR
AU - Aimar, Hugo
TI - Rearrangement and continuity properties of $BMO(\phi )$ functions on spaces of homogeneous type
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1991
PB - Scuola normale superiore
VL - 18
IS - 3
SP - 353
EP - 362
LA - eng
KW - BMO; continuity; space of homogeneous type; non-decreasing rearrangement
UR - http://eudml.org/doc/84105
ER -

References

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  2. [C-W] R. Coifman - G. Weiss, Analyse harmonique non commutative sur certains espaces homogènes, Lecture Notes in Math., Vol. 242, Springer-Verlag, Berlin1971. Zbl0224.43006MR499948
  3. [J-N] F. John - L. Nirenberg, On functions of bounded mean oscillation, Comm. Pure Appl. Math.14 (1961) 415-426. Zbl0102.04302MR131498
  4. [K-R] M.A. Krasnoselskii - Y.A. Rutickii, Convex functions and Orlicz spaces, Groningen, P. Noordhoff (1961). Zbl0095.09103MR126722
  5. [M] G.N. Meyers, Mean oscillation over cubes and Hölder continuity, Proc. Amer. Math. Soc.15 (1964) 717-724. Zbl0129.04002MR168712
  6. [M-S] R. Macías - C. Segovia, Lipschitz functions on spaces of homogeneous type, Adv. Math.33 (1979) 257-270. Zbl0431.46018MR546295
  7. [N] U. Neri, Some properties of functions with bounded mean oscillation, Studia Math.61 (1977), 63-75. Zbl0348.26013MR445210
  8. [S] S. Spanne, Some function spaces defined using the mean oscillation over cubes, Ann. Scuola Norm. Sup. Pisa Cl. Sci.19 (1965) 593-608. Zbl0199.44303MR190729
  9. [Z] A. Zygmund, Trigonometric Series, Cambridge University Press, (1959). Zbl0085.05601MR107776

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