Norm convolution inequalities in lebesgue spaces

We obtain upper and similar lower estimates of the (Lp,Lq) norm for the convolution operator. The upper estimate improves on known convolution inequalities. The technique to obtain lower estimates is applied to study boundedness problems for oscillatory integrals. © European Mathematical Society.

Authors
Nursultanov E. 1, 2 , Tikhonov S.3, 4, 5 , Tleukhanova N.6
Journal
Revista Matematica Iberoamericana
Publisher
European Mathematical Society Publishing House
Number of issue
2
Language
English
Pages
811-838
Status
Published
Link
External link
DOI
10.4171/rmi/1004
Volume
34
Year
2018
Organizations
  • 1 Lomonosov Moscow State University, Kazakhstan Branch, Kazhymukan St. 11, Astana, 010010, Kazakhstan
  • 2 RUDN University, 6 Miklukho-Maklay St., Moscow, 117 198, Russian Federation
  • 3 Centre de Recerca Matem tica, Campus de Bellaterra, Edifici C, Bellaterra (Barcelona), 08193, Spain
  • 4 ICREA, Pg. Lluís Companys 23, Barcelona, 08010, Spain
  • 5 Universitat Autònoma de Barcelona, Spain
  • 6 Gumilyov Eurasian National University, Satpaev St., 2, Astana, Kazakhsta, 010010, Kazakhstan
Keywords
Convolution; Oscillatory kernels; Young–O’Neil inequality
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/7389/
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