THE EMPIRICAL STUDY OF THE EFFICIENCY OF THE IMPACT OF MACROECONOMIC VARIABLES ON NATIONAL CURRENCY
Article
EFFICIENCY IN BUSINESS AND ECONOMICS.
SPRINGER INTERNATIONAL PUBLISHING AG.
2018.
P. 81-87
Weighted Norm Inequalities for Integral Transforms
Weighted (L-p,L-q) inequalities are studied for a variety of integral transforms of Fourier type. In particular, weighted norm inequalities for the Fourier, Hankel, and Jacobi transforms are derived from Calderon-type rearrangement estimates. The obtained results keep their novelty even in the simplest cases of the studied transforms, the cosine and sine Fourier transforms. Sharpness of the conditions on weights is discussed.
Authors
Gorbachev D.1
,
Liflyand E.
2,
3
,
Tikhonov S.4,
5
Publisher
INDIANA UNIV MATH JOURNAL
Number of issue
5
Language
English
Pages
1949-2003
Status
Published
Volume
67
Year
2018
Organizations
- 1 Tula State Univ, Dept Appl Math & Comp Sci, Tula 300012, Russia
- 2 Bar Ilan Univ, Dept Math, IL-52900 Ramat Gan, Israel
- 3 RUDN Univ, SM Nikolskii Inst Math, 6 Miklukho Maklay St, Moscow 117198, Russia
- 4 Ctr Recerca Matemat, Campus Bellaterra,Edifici C, Bellaterra 08193, Barcelona, Spain
- 5 ICREA, Pg Llus Co 23, Barcelona 08010, Spain
Keywords
Pitt's inequality; Calderon's inequalities; Fourier; Hankel; Jacobi; Mehler-Fock transforms
Date of creation
04.02.2019
Date of change
04.02.2019
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APPLIED AND COMPUTATIONAL MATHEMATICS.
MINISTRY COMMUNICATIONS & HIGH TECHNOLOGIES REPUBLIC AZERBAIJAN.
Vol. 17.
2018.
P. 161-174