ORAL ONCOLOGY.
ELSEVIER.
Vol. 118.
2021.
Multipliers of double Fourier-Haar series
The multipliers of double Fourier-Haar series for functions from anisotropic Lorentz spaces are investigated. Necessary and sufficient conditions are obtained for the sequence lambda = {lambda(j1j2)(k1k2)} to belong to the class m(L-(p) over bar,L-(r) over bar -> L-(q) over bar,L- (s) over bar). In particular, the case is described when (s) over bar<<(r)over bar>, which is a new result in the one-dimensional case as well.
Authors
Tleukhanova N.T.1
,
Nursultanov E.D.
2,
3,
4
,
Bashirova A.N.1
Journal
Publisher
Tusi Mathematical Research Group (TMRG)
Number of issue
3
Language
English
Status
Published
Number
58
Volume
6
Year
2021
Organizations
- 1 LN Gumilyov Eurasian Natl Univ, 13 Kazhymukan Munaitpasov St,Z01C0X0, Nur Sultan, Kazakhstan
- 2 Moscow MV Lomonosov State Univ, Kazakhstan Branch, 11 Kazhymukan Munaitpasov St,Z01C0T6, Nur Sultan, Kazakhstan
- 3 Inst Math & Math Modeling, 125 Pushkin Str,A26G7T4, Alma Ata, Kazakhstan
- 4 RUDN Univ, 6 Miklukho Maklaya Str, Moscow 117198, Russia
Keywords
Fourier series; Haar system; Fourier series multipliers; Anisotropic Lorentz spaces
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Biogeosciences.
Copernicus GmbH.
Vol. 18.
2021.
P. 3917-3936