Matches in SemOpenAlex for { <https://semopenalex.org/work/W2592895498> ?p ?o ?g. }
Showing items 1 to 73 of
73
with 100 items per page.
- W2592895498 endingPage "159" @default.
- W2592895498 startingPage "159" @default.
- W2592895498 abstract "Sufficient conditions for the convergence (almost everywhere) of multiple trigonometric Fourier series of functions $f$ in the classes $L_p$, $p>1$, are obtained in the case where rectangular partial sums $S_n(x;f)$ of this series have numbers $n=(n_1,dots,n_N)in mathbb Z^N$, $Ngeq 3$, such that of $N$ components only $k$ ($1leq kleq N-2$) are elements of some lacunary sequences. Earlier, in the case where $N-1$ components of the number $n$ are elements of lacunary sequences, convergence almost everywhere for multiple Fourier series was obtained for functions in the classes $L_p$, $p>1$, by M. Kojima (1977), and for functions in Orlizc classes by D. K. Sanadze, Sh. V. Kheladze (1977) and N. Yu. Antonov (2014). Note that presence of two or more “free” components in the number $n$, as follows from the results by Ch. Fefferman (1971) and M. Kojima (1977), does not guarantee the convergence almost everywhere of $S_n(x;f)$ for $Ngeq 3$ even in the class of continuous functions." @default.
- W2592895498 created "2017-03-16" @default.
- W2592895498 creator A5063355847 @default.
- W2592895498 creator A5071855639 @default.
- W2592895498 date "2016-01-01" @default.
- W2592895498 modified "2023-09-26" @default.
- W2592895498 title "Sufficient Conditions for Convergence Almost Everywhere of Multiple Trigonometric Fourier Series with Lacunary Sequence of Partial Sums" @default.
- W2592895498 doi "https://doi.org/10.14321/realanalexch.41.1.0159" @default.
- W2592895498 hasPublicationYear "2016" @default.
- W2592895498 type Work @default.
- W2592895498 sameAs 2592895498 @default.
- W2592895498 citedByCount "1" @default.
- W2592895498 countsByYear W25928954982017 @default.
- W2592895498 crossrefType "journal-article" @default.
- W2592895498 hasAuthorship W2592895498A5063355847 @default.
- W2592895498 hasAuthorship W2592895498A5071855639 @default.
- W2592895498 hasConcept C114614502 @default.
- W2592895498 hasConcept C118615104 @default.
- W2592895498 hasConcept C120362076 @default.
- W2592895498 hasConcept C134306372 @default.
- W2592895498 hasConcept C143724316 @default.
- W2592895498 hasConcept C151730666 @default.
- W2592895498 hasConcept C162324750 @default.
- W2592895498 hasConcept C202444582 @default.
- W2592895498 hasConcept C207864730 @default.
- W2592895498 hasConcept C27142425 @default.
- W2592895498 hasConcept C2777303404 @default.
- W2592895498 hasConcept C2778112365 @default.
- W2592895498 hasConcept C32929806 @default.
- W2592895498 hasConcept C33923547 @default.
- W2592895498 hasConcept C50522688 @default.
- W2592895498 hasConcept C54355233 @default.
- W2592895498 hasConcept C63356602 @default.
- W2592895498 hasConcept C86803240 @default.
- W2592895498 hasConceptScore W2592895498C114614502 @default.
- W2592895498 hasConceptScore W2592895498C118615104 @default.
- W2592895498 hasConceptScore W2592895498C120362076 @default.
- W2592895498 hasConceptScore W2592895498C134306372 @default.
- W2592895498 hasConceptScore W2592895498C143724316 @default.
- W2592895498 hasConceptScore W2592895498C151730666 @default.
- W2592895498 hasConceptScore W2592895498C162324750 @default.
- W2592895498 hasConceptScore W2592895498C202444582 @default.
- W2592895498 hasConceptScore W2592895498C207864730 @default.
- W2592895498 hasConceptScore W2592895498C27142425 @default.
- W2592895498 hasConceptScore W2592895498C2777303404 @default.
- W2592895498 hasConceptScore W2592895498C2778112365 @default.
- W2592895498 hasConceptScore W2592895498C32929806 @default.
- W2592895498 hasConceptScore W2592895498C33923547 @default.
- W2592895498 hasConceptScore W2592895498C50522688 @default.
- W2592895498 hasConceptScore W2592895498C54355233 @default.
- W2592895498 hasConceptScore W2592895498C63356602 @default.
- W2592895498 hasConceptScore W2592895498C86803240 @default.
- W2592895498 hasIssue "1" @default.
- W2592895498 hasLocation W25928954981 @default.
- W2592895498 hasOpenAccess W2592895498 @default.
- W2592895498 hasPrimaryLocation W25928954981 @default.
- W2592895498 hasRelatedWork W2003994476 @default.
- W2592895498 hasRelatedWork W2058555931 @default.
- W2592895498 hasRelatedWork W2092205589 @default.
- W2592895498 hasRelatedWork W2592895498 @default.
- W2592895498 hasRelatedWork W2804226302 @default.
- W2592895498 hasRelatedWork W2953201992 @default.
- W2592895498 hasRelatedWork W2963475452 @default.
- W2592895498 hasRelatedWork W3138388665 @default.
- W2592895498 hasRelatedWork W3201608020 @default.
- W2592895498 hasRelatedWork W4287266929 @default.
- W2592895498 hasVolume "41" @default.
- W2592895498 isParatext "false" @default.
- W2592895498 isRetracted "false" @default.
- W2592895498 magId "2592895498" @default.
- W2592895498 workType "article" @default.