Pointwise multipliers for reverse Holder spaces

Stephen Buckley

Studia Mathematica (1994)

  • Volume: 109, Issue: 1, page 23-39
  • ISSN: 0039-3223

Abstract

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We classify weights which map reverse Hölder weight spaces to other reverse Hölder weight spaces under pointwise multiplication. We also give some fairly general examples of weights satisfying weak reverse Hölder conditions.

How to cite

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Buckley, Stephen. "Pointwise multipliers for reverse Holder spaces." Studia Mathematica 109.1 (1994): 23-39. <http://eudml.org/doc/216058>.

@article{Buckley1994,
abstract = {We classify weights which map reverse Hölder weight spaces to other reverse Hölder weight spaces under pointwise multiplication. We also give some fairly general examples of weights satisfying weak reverse Hölder conditions.},
author = {Buckley, Stephen},
journal = {Studia Mathematica},
keywords = {reverse Hölder condition; maximal function; weight; doubling measure; pointwise multipliers; reverse Hölder spaces; weights},
language = {eng},
number = {1},
pages = {23-39},
title = {Pointwise multipliers for reverse Holder spaces},
url = {http://eudml.org/doc/216058},
volume = {109},
year = {1994},
}

TY - JOUR
AU - Buckley, Stephen
TI - Pointwise multipliers for reverse Holder spaces
JO - Studia Mathematica
PY - 1994
VL - 109
IS - 1
SP - 23
EP - 39
AB - We classify weights which map reverse Hölder weight spaces to other reverse Hölder weight spaces under pointwise multiplication. We also give some fairly general examples of weights satisfying weak reverse Hölder conditions.
LA - eng
KW - reverse Hölder condition; maximal function; weight; doubling measure; pointwise multipliers; reverse Hölder spaces; weights
UR - http://eudml.org/doc/216058
ER -

References

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  5. [I-N] T. Iwaniec and C. Nolder, Hardy-Littlewood inequality for quasiregular mappings in certain domains in ℝ, Ann. Acad. Sci. Fenn. Ser. A I Math. 10 (1985), 267-282. Zbl0588.30023
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  8. [Mu] B. Muckenhoupt, Weighted norm inequalities for the Hardy maximal function, Trans. Amer. Math. Soc. 165 (1972), 207-226. Zbl0236.26016
  9. [Sa] E. Sawyer, Norm inequalities relating singular integrals and the maximal function, Studia Math. 75 (1983), 253-263. Zbl0528.44002
  10. [Sta] S. Staples, Maximal functions, A ∞ -measures, and quasiconformal maps, Proc. Amer. Math. Soc. 113 (1991), 689-700. Zbl0817.30006
  11. [Ste] E. Stein, Singular Integrals and Differentiability Properties of Functions, Princeton University Press, 1970. 
  12. [Str] E. Stredulinsky, Weighted Inequalities and Degenerate Elliptic Partial Differential Equations, Springer, 1984. 

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