New examples of Fourier multipliers on H¹\p\mathbbD² revisited

2025/09/09 by Maciej Rzeszut, Rzeszut, Maciej
Mathematics · #Advanced Harmonic Analysis Research #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Mathematical Analysis and Transform Methods

paper · pdf · doi:10.48550/arxiv.2509.07641

openalex publication_date 2025/09/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show yet another family of examples of idempotent Fourier multipliers on H¹\p\mathbbD². The proof differs from our previous result and gets rid of arithmetical assumptions.

Related

• A note on Fourier multipliers on the product Hardy spaces
• Fourier multipliers on weighted L^p spaces
• Independent sums of H¹_n(\mathbbT) and H¹_n(δ)
• Operator-Valued L_q→ L_p Fourier Multipliers
• Martingales and Sharp Bounds for Fourier multipliers