| Date: |
2013 |
| Abstract: |
We characterize two-weight norm inequalities for potential type integral operators in terms of Sawyer-type testing conditions. Our result is stated in a space of homogeneous type with no additional geometric assumptions, such as group structure or non-empty annulus property, which appeared in earlier works on the subject. One of the new ingredients in the proof is the use of a finite collection of adjacent dyadic systems recently constructed by the author and T. Hytonen. We further extend the previous Euclidean characterization of two-weight norm inequalities for fractional maximal functions into spaces of homogeneous type. |
| Rights: |
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| Language: |
Anglès |
| Document: |
Article ; recerca ; Versió publicada |
| Subject: |
Space of homogeneous type ;
Dyadic cube ;
Adjacent dyadic systems ;
Dyadic operator ;
Positive integral operator ;
Testing condition |
| Published in: |
Publicacions matemàtiques, Vol. 57, Num. 1 (2013) , p. 3-56, ISSN 2014-4350 |
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