Journals / Bitlis Eren Üniversitesi Fen Bilimleri Dergisi / 2026 / Volume: 15 Issue: 1

Boundedness of the Ambiguity Function on Hardy and BMO Spaces

Ayşe Sandıkçı(ONDOKUZ MAYIS UNIVERSITY)0000-0001-5800-5558
Pages
—
Publication Date
2026-03-24
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

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

Furthermore, the study meticulously investigates the Hardy and BMO distances between two ambiguities that depend on different windows and signals.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This paper demonstrates that the ambiguity function, which is well-known for its significant engineering applications, provides results on boundedness on the Hardy and BMO (Bounded Mean Oscillation) spaces, which are also of central importance in various mathematical fields of study, including Fourier and harmonic analysis.
📊
Key Findings & Data:This paper demonstrates that the ambiguity function, which is well-known for its significant engineering applications, provides results on boundedness on the Hardy and BMO (Bounded Mean Oscillation) spaces, which are also of central importance in various mathematical fields of study, including Fourier and harmonic analysis.
💡
Conclusion & Impact:Furthermore, the study meticulously investigates the Hardy and BMO distances between two ambiguities that depend on different windows and signals.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Ambiguity function · Hardy space · BMO space

Abstract

This paper demonstrates that the ambiguity function, which is well-known for its significant engineering applications, provides results on boundedness on the Hardy and BMO (Bounded Mean Oscillation) spaces, which are also of central importance in various mathematical fields of study, including Fourier and harmonic analysis. Furthermore, the study meticulously investigates the Hardy and BMO distances between two ambiguities that depend on different windows and signals.

🔖

Cite This Article

Sandıkçı, A. (2026). Boundedness of the Ambiguity Function on Hardy and BMO Spaces. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, Volume: 15 Issue: 1. https://doi.org/10.17798/bitlisfen.1732322

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (11)

  1. D. E. Edmunds and W. D. Evans, Hardy Operators Function Spaces and Embeddings, Springer Berlin: Heidelberg New York, 2004.
  2. K. Gröchenig, Foundations of Time-Frequency Analysis, Birkhauser, Boston, 2001.
  3. F. Gürbüz, "Some estimates for generalized commutators of rough fractional maximal and integral operators on generalized weighted Morrey spaces," Canad. Math. Bull., vol. 60, no. 1, 2017, pp.131-145.
  4. F. Gürbüz, "On the behavior of a class of fractional type rough higher order commutators on generalized weighted Morrey spaces," J. Coupled Syst. Multiscale Dyn., vol. 6, no. 3, 2018, pp.191-198.
  5. F. Gürbüz, "Generalized weighted Morrey estimates for Marcinkiewicz integrals with rough kernel associated with Schrödinger operator and their commutators," Chin. Ann. Math. Ser. B., vol. 41, no. 1, 2020, pp.77-98.
  6. F. John and L. Nirenberg, "On functions of bounded mean oscillation," Comm. Pure Appl. Math., vol. 14, no. 3, 1961, pp. 415–426.
  7. A. Prasad, S. Manna, A. Mahato and V. K. Singh, "The generalized continuous wavelet transform associated with the fractional Fourier transform," J. Comput. Appl. Math., vol. 259, 2014, pp. 660–671.
  8. A. Sandıkçı, "Continuity of Wigner-type operators on Lorentz spaces and Lorentz mixed normed modulation spaces," Turk. J. Math., vol. 38, 2014, pp. 728-745.
  9. A. Sandıkçı, "Multilinear τ-Wigner transform," J. Pseudo-Differ. Oper. Appl., vol. 11, 2020, pp. 1465-1487.
  10. A. K. Verma and B. Gupta, "Certain properties of continuous fractional wavelet transform on Hardy space and Morrey space," Opuscula Math., vol. 41, 2021, pp. 701-723.
  11. P. M. Woodward, Probability and Information Theory, with Applications to Radar, Pergamon Press, London, 1953.