Potential Operators on Cones of Nonincreasing Functions
Joint Authors
Murtaza, Ghulam
Meskhi, Alexander
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-26, 26 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-02-01
Country of Publication
Egypt
No. of Pages
26
Main Subjects
Abstract EN
Necessary and sufficient conditions on weight pairs guaranteeing the two-weight inequalities for the potential operators (Iαf)(x)=∫0∞(f(t)/|x−t|1−α)dt and (ℐα1,α2f)(x,y)=∫0∞∫0∞(f(t,τ)/|x−t|1−α1|y−τ|1−α2)dtdτ on the cone of nonincreasing functions are derived.
In the case of ℐα1,α2, we assume that the right-hand side weight is of product type.
The same problem for other mixed-type double potential operators is also studied.
Exponents of the Lebesgue spaces are assumed to be between 1 and ∞.
American Psychological Association (APA)
Meskhi, Alexander& Murtaza, Ghulam. 2011. Potential Operators on Cones of Nonincreasing Functions. Journal of Function Spaces،Vol. 2012, no. 2012, pp.1-26.
https://search.emarefa.net/detail/BIM-994226
Modern Language Association (MLA)
Meskhi, Alexander& Murtaza, Ghulam. Potential Operators on Cones of Nonincreasing Functions. Journal of Function Spaces No. 2012 (2012), pp.1-26.
https://search.emarefa.net/detail/BIM-994226
American Medical Association (AMA)
Meskhi, Alexander& Murtaza, Ghulam. Potential Operators on Cones of Nonincreasing Functions. Journal of Function Spaces. 2011. Vol. 2012, no. 2012, pp.1-26.
https://search.emarefa.net/detail/BIM-994226
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-994226