$\ell ^{p}(\mathbb {Z}^{n+1}_{+})$-boundedness and compactness of symmetrically global pseudo-differential operators in terms of the discrete Fourier-Bessel transform

期刊论文
发表日期：

2026年2月23日

查看全文

Mohd Sartaj,
Priyanka Balvant,
S. K. Upadhyay

摘要

$\ell ^{p}_{\alpha }(\mathbb {Z}^{n+1}_{+})$ $ℓ_{α}^{p} (Z_{+}^{n + 1})$ -boundedness and compactness of SG pseudo-differential operators for $1 \le p < \infty $ $1 \leq p < \infty$ and its various property are established, by considering the theory of the discrete Fourier-Bessel transform. Applying the aforementioned theory, mapping properties of the pseudo-differential operator on discrete Sobolev-type space $\mathcal {H}^{s,p}_{\alpha }$ $H_{α}^{s, p}$ are addressed.

\(\ell ^{p}(\mathbb {Z}^{n+1}_{+})\)-boundedness and compactness of symmetrically global pseudo-differential operators in terms of the discrete Fourier-Bessel transform

摘要