Two-weight norm inequalities for maximal functions on homogeneous spaces and boundary estimates

Sérgio Zani

Studia Mathematica (1997)

  • Volume: 126, Issue: 1, page 67-94
  • ISSN: 0039-3223

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Zani, Sérgio. "Two-weight norm inequalities for maximal functions on homogeneous spaces and boundary estimates." Studia Mathematica 126.1 (1997): 67-94. <http://eudml.org/doc/216444>.

@article{Zani1997,
abstract = {},
author = {Zani, Sérgio},
journal = {Studia Mathematica},
keywords = {norm inequality; weight; maximal function; homogeneous space},
language = {eng},
number = {1},
pages = {67-94},
title = {Two-weight norm inequalities for maximal functions on homogeneous spaces and boundary estimates},
url = {http://eudml.org/doc/216444},
volume = {126},
year = {1997},
}

TY - JOUR
AU - Zani, Sérgio
TI - Two-weight norm inequalities for maximal functions on homogeneous spaces and boundary estimates
JO - Studia Mathematica
PY - 1997
VL - 126
IS - 1
SP - 67
EP - 94
AB -
LA - eng
KW - norm inequality; weight; maximal function; homogeneous space
UR - http://eudml.org/doc/216444
ER -

References

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  1. [C] M. Christ, A T(b) theorem with remarks on analytic capacity and the Cauchy integral, Colloq. Math. 60/61 (1990), 601-628. Zbl0758.42009
  2. [MS] R. Macias and C. Segovia, Lipschitz functions on spaces of homogeneous type, Adv. Math. 33 (1979), 257-270. Zbl0431.46018
  3. [S1] E. T. Sawyer, A characterization of two weight norm inequalities for fractional and Poisson integrals, Trans. Amer. Math. Soc. 308 (1988), 533-545. Zbl0665.42023
  4. [SW1] E. T. Sawyer and R. L. Wheeden, Carleson conditions for the Poisson integral, Indiana Univ. Math. J. 40 (1991), 639-676. Zbl0748.42009
  5. [SW2] E. T. Sawyer and R. L. Wheeden, Weighted inequalities for fractional integrals on Euclidean and homogeneous spaces, Amer. J. Math. 114 (1992), 813-874. Zbl0783.42011
  6. [SWZ] E. Sawyer, R. L. Wheeden and S. Zhao, Weighted norm inequalities for operators of potential type and fractional maximal functions, Potential Anal. 5 (1996), 523-580. Zbl0873.42012
  7. [St] E. M. Stein, Singular Integrals and Differentiability Properties of Functions, Princeton Univ. Press, 1970. 
  8. [W1] R. L. Wheeden, A characterization of some weighted norm inequalities for the fractional maximal function, Studia Math. 107 (1993), 257-272. Zbl0809.42009
  9. [W2] R. L. Wheeden, Norm inequalities for off-centered maximal operators, Publ. Mat. 37 (1993), 429-441. Zbl0848.42013

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