Araştırma Makalesi

INCLUSION THEOREMS IN THE FUNCTION SPACES WITH WIGNER TRANSFORM

Cilt: 5 Sayı: 2 31 Temmuz 2022
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EN

INCLUSION THEOREMS IN THE FUNCTION SPACES WITH WIGNER TRANSFORM

Öz

In this paper, we consider inclusion relations of $CW_{\omega _{1},\omega _{2},\omega _{3},\omega _{4}}^{p,q,r,s,\tau }\left( %TCIMACRO{\U{211d} }% %BeginExpansion \mathbb{R} %EndExpansion \right) $ spaces of functions whose Wigner transforms are in weighted Lebesgue spaces. We then discuss compact embeddings theorems between these function spaces.

Anahtar Kelimeler

Destekleyen Kurum

Giresun University

Proje Numarası

FEN-BAPC-150219-01

Kaynakça

  1. P. Boggiatto, G. De Donno, A. Oliaro, A class of quadratic time- frequency representations based on the short- time Fourier transform, Oper Theory, 172, 235-249 (2007).
  2. P. Boggiatto, G. De Donno, A. Oliaro, Time- frequency representations of Wigner type and pseudo- differential operators, Trans Amer Math Soc, 362, 4955-4981 (2010).
  3. M. Duman, O. Kulak. On function spaces with fractional wavelet transform, Montes Taurus J. Pure Appl. Math. 3 (3), 122–134 (2021).
  4. H.G. Feichtinger, A.T. Gürkanlı, On a family of weighted convolution algebras, Internat. J. Math. Sci. 13(3), 517-526 (1990).
  5. R. H. Fischer, A.T. Gürkanlı, T.S. Liu, On a family of weighted spaces, Math. Slovaca, 46(1), 71-82 (1996).
  6. K. Grochenig, Foundations of Time-Frequency Analysis, Birkhauser, Boston, 359s (2001).[7] A.T. Gurkanlı, Compact embeddings of the spaces Apw,Rd, Taiwanese Journal of Mathematics, 12(7), 1757-1767 (2008).
  7. O. Kulak, A.T. Gürkanlı, On function spaces with wavelet transform in LpωRd × R+, Hacettepe Journal of Mathematics and Statistics, 40(2), 163-177 (2011).
  8. O. Kulak, A. Ömerbeyoğlu, On function spaces characterized by the Wigner transform, Journal of Universal Mathematics, 4(2), 188-200 (2021).

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

31 Temmuz 2022

Gönderilme Tarihi

23 Haziran 2022

Kabul Tarihi

25 Temmuz 2022

Yayımlandığı Sayı

Yıl 2022 Cilt: 5 Sayı: 2

Kaynak Göster

APA
Kulak, Ö., & Ömerbeyoğlu, A. (2022). INCLUSION THEOREMS IN THE FUNCTION SPACES WITH WIGNER TRANSFORM. Journal of Universal Mathematics, 5(2), 95-104. https://doi.org/10.33773/jum.1134775
AMA
1.Kulak Ö, Ömerbeyoğlu A. INCLUSION THEOREMS IN THE FUNCTION SPACES WITH WIGNER TRANSFORM. JUM. 2022;5(2):95-104. doi:10.33773/jum.1134775
Chicago
Kulak, Öznur, ve Arzu Ömerbeyoğlu. 2022. “INCLUSION THEOREMS IN THE FUNCTION SPACES WITH WIGNER TRANSFORM”. Journal of Universal Mathematics 5 (2): 95-104. https://doi.org/10.33773/jum.1134775.
EndNote
Kulak Ö, Ömerbeyoğlu A (01 Temmuz 2022) INCLUSION THEOREMS IN THE FUNCTION SPACES WITH WIGNER TRANSFORM. Journal of Universal Mathematics 5 2 95–104.
IEEE
[1]Ö. Kulak ve A. Ömerbeyoğlu, “INCLUSION THEOREMS IN THE FUNCTION SPACES WITH WIGNER TRANSFORM”, JUM, c. 5, sy 2, ss. 95–104, Tem. 2022, doi: 10.33773/jum.1134775.
ISNAD
Kulak, Öznur - Ömerbeyoğlu, Arzu. “INCLUSION THEOREMS IN THE FUNCTION SPACES WITH WIGNER TRANSFORM”. Journal of Universal Mathematics 5/2 (01 Temmuz 2022): 95-104. https://doi.org/10.33773/jum.1134775.
JAMA
1.Kulak Ö, Ömerbeyoğlu A. INCLUSION THEOREMS IN THE FUNCTION SPACES WITH WIGNER TRANSFORM. JUM. 2022;5:95–104.
MLA
Kulak, Öznur, ve Arzu Ömerbeyoğlu. “INCLUSION THEOREMS IN THE FUNCTION SPACES WITH WIGNER TRANSFORM”. Journal of Universal Mathematics, c. 5, sy 2, Temmuz 2022, ss. 95-104, doi:10.33773/jum.1134775.
Vancouver
1.Öznur Kulak, Arzu Ömerbeyoğlu. INCLUSION THEOREMS IN THE FUNCTION SPACES WITH WIGNER TRANSFORM. JUM. 01 Temmuz 2022;5(2):95-104. doi:10.33773/jum.1134775