On spectral properties of the modified convolution operator

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od_______272::7325076116ff237ad18b9d39f8e43ef6
https://hdl.handle.net/2072/419171

A sharp Remez inequality for trigonometric polynomials

Autor: Nursultanov, Erlan, Tikhonov, Sergey Yu., Universitat Autònoma de Barcelona. Centre de Recerca Matemàtica

Publikováno v: Recercat: Dipósit de la Recerca de Catalunya
Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Recercat. Dipósit de la Recerca de Catalunya
instname
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona

Vegeu el resum a l'inici del document del fitxer adjunt.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::2bc80b4ec7a1bffb039a6689db53e872
http://hdl.handle.net/2072/419125

Net spaces and boundedness of integral operators

Autor: Nursultanov, Erlan, Tikhonov, Sergey Yu., Centre de Recerca Matemàtica

Publikováno v: Recercat: Dipósit de la Recerca de Catalunya
Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Recercat. Dipósit de la Recerca de Catalunya
instname
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona

In this paper we introduce new functional spaces which we call the net spaces. Using their properties, the necessary and sufficient conditions for the integral operators to be of strong or weak-type are obtained. The estimates of the norm of the conv

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::1b3aa964f685dd9435092ece3841a06c
http://hdl.handle.net/2072/418775

On spectral properties of the modified convolution operator

Autor: Nazerke Tleukhanova, Ainur Jumabayeva, Esmukhanbet Smailov

Publikováno v: RECERCAT (Dipòsit de la Recerca de Catalunya)
Recercat. Dipósit de la Recerca de Catalunya
instname

We investigated the s-number of the modified convolution operator and obtained the following results

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5613087830efb13cbfd7b59d3ee581e0
https://hdl.handle.net/2072/196874

Convolution inequalities in Lorentz spaces

Autor: Nursultanov, Erlan, Tikhonov, Sergey Yu.

Publikováno v: Recercat. Dipósit de la Recerca de Catalunya
instname

In this paper we study boundedness of the convolution operator in different Lorentz spaces. In particular, we obtain the limit case of the Young-O'Neil inequality in the classical Lorentz spaces. We also investigate the convolution operator in the we

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::cd937145a679e084dec4bb3fb435cd3a
http://hdl.handle.net/2072/12454