CrossRef Open Access 2025

Weighted estimates for Hardy–Littlewood maximal functions on harmonic NA groups

Pritam Ganguly Tapendu Rana Jayanta Sarkar

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Abstrak

Abstract Our aim in this article is to study the weighted boundedness of the centered Hardy–Littlewood maximal operator on harmonic NA groups. Closely following the approach of Antezana and Ombrosi in the setting of real hyperbolic spaces, we prove the weighted $$L^p$$ L p -boundedness, for $$1<p<\infty $$ 1 < p < ∞ , of the maximal operator. Furthermore, as an endpoint case, we establish a variant of the Fefferman–Stein inequality, from which a vector-valued maximal inequality has been obtained. We also provide examples of weights to substantiate various aspects of our results. In particular, we show that certain spherical functions on harmonic NA groups serve as examples of $$A_p$$ A p weights.

Penulis (3)

Pritam Ganguly

Tapendu Rana

Jayanta Sarkar

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APA MLA BibTeX

Ganguly, P., Rana, T., Sarkar, J. (2025). Weighted estimates for Hardy–Littlewood maximal functions on harmonic NA groups. https://doi.org/10.1007/s00209-025-03762-2

Akses Cepat

Lihat di Sumber doi.org/10.1007/s00209-025-03762-2

Informasi Jurnal

Tahun Terbit: 2025
Bahasa: en
Sumber Database: CrossRef
DOI: 10.1007/s00209-025-03762-2
Akses: Open Access ✓