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
- 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).
- 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).
- M. Duman, O. Kulak. On function spaces with fractional wavelet transform, Montes Taurus J. Pure Appl. Math. 3 (3), 122–134 (2021).
- H.G. Feichtinger, A.T. Gürkanlı, On a family of weighted convolution algebras, Internat. J. Math. Sci. 13(3), 517-526 (1990).
- R. H. Fischer, A.T. Gürkanlı, T.S. Liu, On a family of weighted spaces, Math. Slovaca, 46(1), 71-82 (1996).
- 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).
- 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).
- 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
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