Some integral and maximal operators related to starlike sets
Studia Mathematica, Tome 107 (1993) no. 3, pp. 223-255
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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.
@article{10_4064_sm_107_3_223_255,
author = {Sagun Chanillo},
title = {Some integral and maximal operators related to starlike sets},
journal = {Studia Mathematica},
pages = {223--255},
publisher = {mathdoc},
volume = {107},
number = {3},
year = {1993},
doi = {10.4064/sm-107-3-223-255},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-107-3-223-255/}
}
TY - JOUR AU - Sagun Chanillo TI - Some integral and maximal operators related to starlike sets JO - Studia Mathematica PY - 1993 SP - 223 EP - 255 VL - 107 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/sm-107-3-223-255/ DO - 10.4064/sm-107-3-223-255 LA - en ID - 10_4064_sm_107_3_223_255 ER -
Sagun Chanillo. Some integral and maximal operators related to starlike sets. Studia Mathematica, Tome 107 (1993) no. 3, pp. 223-255. doi: 10.4064/sm-107-3-223-255
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