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Journals / Avrupa Bilim ve Teknoloji Dergisi / 2021 / Sayı: 28

Compact Embedding Theorems for The Space of Functions with Wavelet Transform in Amalgam Spaces

Dalgacık Dönüşümleri Amalgam Uzaylarında Olan Fonksiyon Uzayları için Kompakt Gömülme Teoremleri

Öznur KULAK
Pages
568–572
Publication Date
2021-11-30
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

This paper is motivated to define the space 〖 A〗_s (W)_(ω,ϑ)^(p,q,r) (R) using the wavelet transform, and is also motivated to consider the inclusion and compact embedding theorems in this space.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This paper is motivated to define the space 〖 A〗_s (W)_(ω,ϑ)^(p,q,r) (R) using the wavelet transform, and is also motivated to consider the inclusion and compact embedding theorems in this space.
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Key Findings & Data:This paper is motivated to define the space 〖 A〗_s (W)_(ω,ϑ)^(p,q,r) (R) using the wavelet transform, and is also motivated to consider the inclusion and compact embedding theorems in this space.
💡
Conclusion & Impact:This paper is motivated to define the space 〖 A〗_s (W)_(ω,ϑ)^(p,q,r) (R) using the wavelet transform, and is also motivated to consider the inclusion and compact embedding theorems in this space.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Açılma operatörü · Öteleme operatörü · Kompakt gömülme

Abstract

This paper is motivated to define the space 〖 A〗_s (W)_(ω,ϑ)^(p,q,r) (R) using the wavelet transform, and is also motivated to consider the inclusion and compact embedding theorems in this space.

Özet

Bu çalışma dalgacık dönüşümü kullanarak 〖 A〗_s (W)_(ω,ϑ)^(p,q,r) (R) uzayını tanımlamak ve ayrıca bu uzayda kapsama, kompakt gömülme teoremlerini incelemek için motive edilmiştir.

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Cite This Article

KULAK, Ö. (2021). Compact Embedding Theorems for The Space of Functions with Wavelet Transform in Amalgam Spaces. Avrupa Bilim ve Teknoloji Dergisi, Sayı: 28, 568–572. https://ajindex.com/articles/470919

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References (10)

  1. Daubechies, I. (1992).
  2. Ten Lectures on Wavelets, CBMS-NSF, SIAM, Philadelphia. Feichtinger, H.G. (1980). Banach convolution algebras of Wiener type, In: Proc. Conf. Functions, Series, Operators, Budapest. Colloq. Math. Soc. Janos Bolyai, vol. 35, pp. 509-524.
  3. Fischer, R.H. Gürkanlı, A.T. & Liu, T. S. (1996).
  4. On a family of weighted spaces, Math. Slovaca, 46, 1, 71-82. Gasquet C. & Witomski, P. (1999).
  5. Fourier Analysis and Applications, Springer, New York. Gröchenig, K. (2001). Foundations of Time-Frequency Analysis, Birkhauser, Boston Gürkanlı, A.T. (2008). Compact embeddings of the spaces A_(w,ω)^p (R^d ), Taiwanese Journal of Mathematics, 12, 7, 1757-1767.
  6. Heil, C. (2003). An introduction to weighted Wiener amalgams, In: Wavelets and Their Applications, pp. 183-216.
  7. Allied Publishers,
  8. New Delhi. Kulak, Ö. & Gürkanlı, A.T. (2011). On function spaces with wavelet transform in L_ω^p (R^d×R^+ ), Hacettepe Journal of Mathematics and Statistics, 40, 2, 163 – 177. Kulak Ö. & Gürkanlı, A.T. (2013). Bilinear multipliers of weighted Lebesgue spaces and variable exponent Lebesgue spaces, Journal of Inequalities and Applications, 2013:259. Kulak Ö. & Gürkanlı, A.T. (2014). Bilinear multipliers of weighted Wiener amalgam spaces and variable exponent Wiener amalgam spaces, Journal of Inequalities and Applications, 2014:476 Mallat, S. (1998).
  9. A wavelet tour of signal processing, Academic Press,
  10. San Diego, CA. Reiter, H. (1968). Classical Harmonic Analysis and Locally Compact Group, Oxford Universty Pres, Oxford. Ünal C. & Aydın, İ. (2019). Compact embeddings on a subspace of weighted variable exponent Sobolev spaces, Advances in operator theory, 4, 2, 388-405.