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Integral operators on the halfspace in generalized Lebesgue spaces , part I
- Source :
-
Journal of Mathematical Analysis & Applications . Oct2004, Vol. 298 Issue 2, p559-571. 13p. - Publication Year :
- 2004
-
Abstract
- In this paper we generalize a version of the classical Calderón–Zygmund theorem on principle value integrals in generalized Lebesgue spaces proved in [J. Reine Angew. Math. 563 (2003) 197–220], to kernels, which do not satisfy standard estimates on . This result will be used in part II of this paper to prove the classical theorem on halfspace estimates of Agmon, Douglis, and Nirenberg [Comm. Pure Appl. Math. 12 (1959) 623–727] for generalized Lebesgue spaces . [Copyright &y& Elsevier]
- Subjects :
- *LEBESGUE integral
*MATHEMATICS
*MEASURE theory
*GENERALIZED integrals
Subjects
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 298
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 14376636
- Full Text :
- https://doi.org/10.1016/j.jmaa.2004.05.048