Hardy operator with variable limits on monotone functions
We characterize weighted Lp-Lq inequalities with the Hardy operator of the form Hf(x)=∫a(x)b(x)f(y)u(y) dy with a non-negative weight function u, restricted to the cone of monotone functions on the semiaxis. The proof is based on the Sawyer criterion and the boundedness of generalized Hardy operator...
Saved in:
| Main Authors: | Vladimir D. Stepanov, Elena P. Ushakova |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2003-01-01
|
| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2003/860547 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
-
Commutators of the Bilinear Hardy Operator on Herz Type Spaces with Variable Exponents
by: Shengrong Wang, et al.
Published: (2019-01-01) -
A Necessary and Sufficient Condition for Hardy’s Operator in the Variable Lebesgue Space
by: Farman Mamedov, et al.
Published: (2014-01-01) -
Hardy operators and commutators on generalized central function spaces
by: Le Trung Nghia
Published: (2025-08-01) -
Iterative Methods for the Sum of Two Monotone Operators
by: Yeong-Cheng Liou
Published: (2012-01-01) -
On Necessary Condition for the Variable Exponent Hardy Inequality
by: Aziz Harman
Published: (2012-01-01)