Boundedness of Some Integral Operators
ISSN: 0008-414X, 1496-4279
Año de publicación: 1993
Volumen: 45
Número: 6
Páginas: 1155-1166
Tipo: Artículo
Otras publicaciones en: Canadian Journal of Mathematics
Resumen
We apply the expression for the norm of a function in the weighted Lorentz space, with respect to the distribution function, to obtain as a simple consequence some weighted inequalities for integral operators.
Referencias bibliográficas
- K. Andersen, Weighted generalized Hardy inequalities for nonincreasing functions, Canad. J. Math. 43 (1991), 1121-1135.
- M. Arino and B. Muckenhoupt, Maximal functions on classical Lorentz spaces and Hardy's inequality with weights for nonincreasing function, Trans. Amer. Math. Soc. 320(1990), 727-735.
- C. Bennet and R. Sharpley, Interpolation of operators, Academic Press, 1988.
- M. J. Carro and J. Soria, Weighted Lorentz spaces and the Hardy operator, Jour. Funct. Anal, 112(1993), 480-494.
- F J. Martin-Reyes and E. Sawyer, Weighted inequalities for Riemann-Liouville fractional integrals of order one and greater, Proc. Amer. Math. Soc. 106(1989), 727-733.
- C. J. Neugebauer, Weighted norm inequalities for general operators of monotone functions, Publi. Mat. 35(1991), 429-47.
- E. Sawyer, Boundedness of classical operators on classical Lorentz spaces, Studia Math. 96(1990), 145-158.