Weak type estimates for operators of potential type

Studia Mathematica

Volumn 119, Issue 2, 1996, Pages 149-160

  Wheeden, Richard L ^a   Zhao, Shiying ^b  

^a RUTGERS UNIVERSITY   (United States)

^b UNIVERSITY OF MISSOURI ST LOUIS   (United States)

Author keywords

Homogeneous space; Norm inequality; Operator of potential type; Weight

Indexed keywords

EID: 0040655989     PISSN: 00393223     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (8)

1. R. R. Coifman and G. Weiss, Extensions of Hardy spaces and their use in analysis, Bull. Amer. Math. Soc. 83 (1977), 569-645.
2. B. Franchi, C. E. Gutierrez and R. L. Wheeden, Weighted Sobolev-Poincaré inequalities for Grushin type operators, Comm. Partial Differential Equations 19 (1994), 523-604.
3. I. Genebashvili, A. Gogatishvili and V. Kokilashvili, Criteria of general weak type inequalities for integral transforms with positive kernels, Proc. Georgian Acad. Sci. Math. 1 (1993), 11-34.
4. E. T. Sawyer, A two weight weak type inequality for fractional integrals, Trans. Amer. Math. Soc. 281 (1984), 339-345.
5. _, A characterization of two weight norm inequalities for fractional and Poisson integrals, ibid. 308 (1988), 533-545.
6. E. T. Sawyer and R. L. Wheeden, Weighted inequalities for fractional integrals on Euclidean and homogeneous spaces, Amer. J. Math. 114 (1992), 813-874.
7. E. T. Sawyer, R. L. Wheeden and S. Zhao, Weighted norm inequalities for operators of potential type and fractional maximal functions, Potential Anal. (1996), to appear.
8. I. E. Verbitsky and R. L. Wheeden, Weighted norm inequalities for integral operators, to appear.