Araştırma Makalesi
BibTex RIS Kaynak Göster

Some Classical Operators on Vanishing Weighted Orlicz-Morrey Spaces

Yıl 2024, Cilt: 16 Sayı: 1, 96 - 102, 30.06.2024
https://doi.org/10.47000/tjmcs.1435237

Öz

In this paper, we investigate the boundedness of the maximal operator in vanishing weighted Orlicz-Morrey spaces. As an application of this result, we show that these spaces are also invariont with respect to some classical operators of harmonic analysis, such as Riesz potential, fractional maximal operator, Hardy operator.

Kaynakça

  • Alabalik, A., Almeida, A., Samko, S., On the invariance of certain vanishing subspaces of Morrey spaces with respect to some classical operators, Banach J Math Anal., 14(3)(2020), 987–1000.
  • Alabalik, A., Almeida, A., Samko, S., Preservation of certain vanishing properties of generalized Morrey spaces by some classical operators, Math. Methods Appl. Sci., 43(16)(2020), 9375–9386.
  • Almeida, A., Maximal commutators and commutators of potential operators in new vanishing Morrey spaces, Nonlinear Anal., 192(2020).
  • Almeida, A., Samko, S., Approximation in Morrey spaces, J. Funct. Anal., 272(2017), 2392–2411.
  • Deringoz, F., Guliyev, V.S., Samko, S., Boundedness of the maximal operator and its commutators on vanishing generalized Orlicz-Morrey spaces, Ann. Acad. Sci. Fenn. Math., 40(2015), 535–549.
  • Deringoz, F., Guliyev, V.S., Hasanov, S., Maximal operator and its commutators on generalized weighted Orlicz-Morrey spaces, Tokyo J. Math., 41(2)(2018), 347–369.
  • Deringoz, F., Guliyev, V.S., Nakai, E., Sawano, Y., Shi, M., Generalized fractional maximal and integral operators on Orlicz and generalized Orlicz-Morrey spaces of the third kind, Positivity, 23(2019), 727–757.
  • Deringoz, F., Dorak, K., Mislar, F.A., Some classical operators in a new vanishing generalized Orlicz-Morrey space, Trans. Natl. Acad. Sci. Azerb. Ser. Phys.-Tech. Math. Sci., 42(4)(2022), 38–45.
  • Fiorenza, A., Krbec, M., Indices of Orlicz spaces and some applications, Comment. Math. Univ. Carolin. 38(3)(1997), 433–451.
  • Gordadze, E., Meskhi, A., Ragusa, M.A., On some extrapolation in generalized grand Morrey spaces with applications to PDEs, Electronic Research Archive, 32(1)(2024), 551–564.
  • Guliyev, V.S., Deringoz, F., Hasanov, J., (Φ,Ψ)-admissible potential operators and their commutators on vanishing Orlicz-Morrey spaces, Collect. Math., 67(2016), 133–153.
  • Guliyev, V.S., Deringoz, F., Riesz potential and its commutators on generalized weighted Orlicz–Morrey spaces, Math. Nachr., 295(2022), 706–724.
  • Kucukaslan, A., Generalized fractional integrals in the vanishing generalized weighted local and global Morrey spaces, Filomat, 37(6)(2023), 1893–1905.
  • Samko, N., Maximal, potential and singular operators in vanishing generalized Morrey spaces, J. Global Optim., 57(4)(2013), 1385–1399.
  • Shi, Y.L., Li, L., Shen, Z.H., Boundedness of p-adic singular integrals and multilinear commutator on Morrey-Herz spaces, Journal of Function Spaces, vol.2023(2023).
Yıl 2024, Cilt: 16 Sayı: 1, 96 - 102, 30.06.2024
https://doi.org/10.47000/tjmcs.1435237

Öz

Kaynakça

  • Alabalik, A., Almeida, A., Samko, S., On the invariance of certain vanishing subspaces of Morrey spaces with respect to some classical operators, Banach J Math Anal., 14(3)(2020), 987–1000.
  • Alabalik, A., Almeida, A., Samko, S., Preservation of certain vanishing properties of generalized Morrey spaces by some classical operators, Math. Methods Appl. Sci., 43(16)(2020), 9375–9386.
  • Almeida, A., Maximal commutators and commutators of potential operators in new vanishing Morrey spaces, Nonlinear Anal., 192(2020).
  • Almeida, A., Samko, S., Approximation in Morrey spaces, J. Funct. Anal., 272(2017), 2392–2411.
  • Deringoz, F., Guliyev, V.S., Samko, S., Boundedness of the maximal operator and its commutators on vanishing generalized Orlicz-Morrey spaces, Ann. Acad. Sci. Fenn. Math., 40(2015), 535–549.
  • Deringoz, F., Guliyev, V.S., Hasanov, S., Maximal operator and its commutators on generalized weighted Orlicz-Morrey spaces, Tokyo J. Math., 41(2)(2018), 347–369.
  • Deringoz, F., Guliyev, V.S., Nakai, E., Sawano, Y., Shi, M., Generalized fractional maximal and integral operators on Orlicz and generalized Orlicz-Morrey spaces of the third kind, Positivity, 23(2019), 727–757.
  • Deringoz, F., Dorak, K., Mislar, F.A., Some classical operators in a new vanishing generalized Orlicz-Morrey space, Trans. Natl. Acad. Sci. Azerb. Ser. Phys.-Tech. Math. Sci., 42(4)(2022), 38–45.
  • Fiorenza, A., Krbec, M., Indices of Orlicz spaces and some applications, Comment. Math. Univ. Carolin. 38(3)(1997), 433–451.
  • Gordadze, E., Meskhi, A., Ragusa, M.A., On some extrapolation in generalized grand Morrey spaces with applications to PDEs, Electronic Research Archive, 32(1)(2024), 551–564.
  • Guliyev, V.S., Deringoz, F., Hasanov, J., (Φ,Ψ)-admissible potential operators and their commutators on vanishing Orlicz-Morrey spaces, Collect. Math., 67(2016), 133–153.
  • Guliyev, V.S., Deringoz, F., Riesz potential and its commutators on generalized weighted Orlicz–Morrey spaces, Math. Nachr., 295(2022), 706–724.
  • Kucukaslan, A., Generalized fractional integrals in the vanishing generalized weighted local and global Morrey spaces, Filomat, 37(6)(2023), 1893–1905.
  • Samko, N., Maximal, potential and singular operators in vanishing generalized Morrey spaces, J. Global Optim., 57(4)(2013), 1385–1399.
  • Shi, Y.L., Li, L., Shen, Z.H., Boundedness of p-adic singular integrals and multilinear commutator on Morrey-Herz spaces, Journal of Function Spaces, vol.2023(2023).
Toplam 15 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Lie Grupları, Harmonik ve Fourier Analizi
Bölüm Makaleler
Yazarlar

Fatih Deringöz 0000-0002-2260-3641

Yayımlanma Tarihi 30 Haziran 2024
Gönderilme Tarihi 11 Şubat 2024
Kabul Tarihi 13 Mart 2024
Yayımlandığı Sayı Yıl 2024 Cilt: 16 Sayı: 1

Kaynak Göster

APA Deringöz, F. (2024). Some Classical Operators on Vanishing Weighted Orlicz-Morrey Spaces. Turkish Journal of Mathematics and Computer Science, 16(1), 96-102. https://doi.org/10.47000/tjmcs.1435237
AMA Deringöz F. Some Classical Operators on Vanishing Weighted Orlicz-Morrey Spaces. TJMCS. Haziran 2024;16(1):96-102. doi:10.47000/tjmcs.1435237
Chicago Deringöz, Fatih. “Some Classical Operators on Vanishing Weighted Orlicz-Morrey Spaces”. Turkish Journal of Mathematics and Computer Science 16, sy. 1 (Haziran 2024): 96-102. https://doi.org/10.47000/tjmcs.1435237.
EndNote Deringöz F (01 Haziran 2024) Some Classical Operators on Vanishing Weighted Orlicz-Morrey Spaces. Turkish Journal of Mathematics and Computer Science 16 1 96–102.
IEEE F. Deringöz, “Some Classical Operators on Vanishing Weighted Orlicz-Morrey Spaces”, TJMCS, c. 16, sy. 1, ss. 96–102, 2024, doi: 10.47000/tjmcs.1435237.
ISNAD Deringöz, Fatih. “Some Classical Operators on Vanishing Weighted Orlicz-Morrey Spaces”. Turkish Journal of Mathematics and Computer Science 16/1 (Haziran 2024), 96-102. https://doi.org/10.47000/tjmcs.1435237.
JAMA Deringöz F. Some Classical Operators on Vanishing Weighted Orlicz-Morrey Spaces. TJMCS. 2024;16:96–102.
MLA Deringöz, Fatih. “Some Classical Operators on Vanishing Weighted Orlicz-Morrey Spaces”. Turkish Journal of Mathematics and Computer Science, c. 16, sy. 1, 2024, ss. 96-102, doi:10.47000/tjmcs.1435237.
Vancouver Deringöz F. Some Classical Operators on Vanishing Weighted Orlicz-Morrey Spaces. TJMCS. 2024;16(1):96-102.