# Some integral and maximal operators related to starlike sets

Sagun Chanillo; David Watson; Richard Wheeden

Studia Mathematica (1993)

- Volume: 107, Issue: 3, page 223-255
- ISSN: 0039-3223

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topChanillo, Sagun, Watson, David, and Wheeden, Richard. "Some integral and maximal operators related to starlike sets." Studia Mathematica 107.3 (1993): 223-255. <http://eudml.org/doc/216031>.

@article{Chanillo1993,

abstract = {We prove two-weight norm estimates for fractional integrals and fractional maximal functions associated with starlike sets in Euclidean space. This is seen to include general positive homogeneous fractional integrals and fractional integrals on product spaces. We consider both weak type and strong type results, and we show that the conditions imposed on the weight functions are fairly sharp.},

author = {Chanillo, Sagun, Watson, David, Wheeden, Richard},

journal = {Studia Mathematica},

keywords = {two-weight norm inequalities; fractional integrals; fractional maximal functions},

language = {eng},

number = {3},

pages = {223-255},

title = {Some integral and maximal operators related to starlike sets},

url = {http://eudml.org/doc/216031},

volume = {107},

year = {1993},

}

TY - JOUR

AU - Chanillo, Sagun

AU - Watson, David

AU - Wheeden, Richard

TI - Some integral and maximal operators related to starlike sets

JO - Studia Mathematica

PY - 1993

VL - 107

IS - 3

SP - 223

EP - 255

AB - We prove two-weight norm estimates for fractional integrals and fractional maximal functions associated with starlike sets in Euclidean space. This is seen to include general positive homogeneous fractional integrals and fractional integrals on product spaces. We consider both weak type and strong type results, and we show that the conditions imposed on the weight functions are fairly sharp.

LA - eng

KW - two-weight norm inequalities; fractional integrals; fractional maximal functions

UR - http://eudml.org/doc/216031

ER -

## References

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- [St] E. M. Stein, Singular Integrals and Differentiability Properties of Functions, Princeton University Press, Princeton, N.J., 1970.
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- [W1] D. Watson, Vector-valued inequalities, factorization, and extrapolation for a family of rough operators, J. Funct. Anal., to appear.
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