Boundedness of the Ambiguity Function on Hardy and BMO Spaces

Ayşe Sandıkçı

doi:10.17798/bitlisfen.1732322

Boundedness of the Ambiguity Function on Hardy and BMO Spaces

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.

Keywords

Ethical Statement

The study is complied with research and publication ethics.

References

D. E. Edmunds and W. D. Evans, Hardy Operators Function Spaces and Embeddings, Springer Berlin: Heidelberg New York, 2004.
K. Gröchenig, Foundations of Time-Frequency Analysis, Birkhauser, Boston, 2001.
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.
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.
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.
F. John and L. Nirenberg, "On functions of bounded mean oscillation," Comm. Pure Appl. Math., vol. 14, no. 3, 1961, pp. 415–426.
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.
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.

Details

Primary Language

English

Subjects

Operator Algebras and Functional Analysis

Journal Section

Research Article

Authors

Ayşe Sandıkçı ^*
0000-0001-5800-5558
Türkiye

Publication Date

March 24, 2026

Submission Date

July 1, 2025

Acceptance Date

January 9, 2026

Published in Issue

Year 2026 Volume: 15 Number: 1

DOI

https://doi.org/10.17798/bitlisfen.1732322

IZ

https://izlik.org/JA49AZ82PE

Cite

RIS / Bibtex

APA

Sandıkçı, A. (2026). Boundedness of the Ambiguity Function on Hardy and BMO Spaces. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, 15(1), 30-36. https://doi.org/10.17798/bitlisfen.1732322

AMA

1.Sandıkçı A. Boundedness of the Ambiguity Function on Hardy and BMO Spaces. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi. 2026;15(1):30-36. doi:10.17798/bitlisfen.1732322

Chicago

Sandıkçı, Ayşe. 2026. “Boundedness of the Ambiguity Function on Hardy and BMO Spaces”. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi 15 (1): 30-36. https://doi.org/10.17798/bitlisfen.1732322.

EndNote

Sandıkçı A (March 1, 2026) Boundedness of the Ambiguity Function on Hardy and BMO Spaces. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi 15 1 30–36.

IEEE

[1]A. Sandıkçı, “Boundedness of the Ambiguity Function on Hardy and BMO Spaces”, Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, vol. 15, no. 1, pp. 30–36, Mar. 2026, doi: 10.17798/bitlisfen.1732322.

ISNAD

Sandıkçı, Ayşe. “Boundedness of the Ambiguity Function on Hardy and BMO Spaces”. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi 15/1 (March 1, 2026): 30-36. https://doi.org/10.17798/bitlisfen.1732322.

JAMA

1.Sandıkçı A. Boundedness of the Ambiguity Function on Hardy and BMO Spaces. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi. 2026;15:30–36.

MLA

Sandıkçı, Ayşe. “Boundedness of the Ambiguity Function on Hardy and BMO Spaces”. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, vol. 15, no. 1, Mar. 2026, pp. 30-36, doi:10.17798/bitlisfen.1732322.

Vancouver

1.Ayşe Sandıkçı. Boundedness of the Ambiguity Function on Hardy and BMO Spaces. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi. 2026 Mar. 1;15(1):30-6. doi:10.17798/bitlisfen.1732322