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Preprints
, 2026, Optimal distributional estimates of the multiple Hilbert transform, http://dx.doi.org/10.48550/arxiv.2606.02910
, 2026, Fractional Sobolev embeddings on noncommutative torus, http://dx.doi.org/10.48550/arxiv.2606.03185
, 2026, Trigonometric bases in noncommutative $L_p(\mathbb{T}^d_θ)$ spaces and associated partial sum operators, http://dx.doi.org/10.48550/arxiv.2606.19360
, 2026, Fujita exponents on quantum Euclidean spaces, http://dx.doi.org/10.48550/arxiv.2601.16053
, 2026, Hormander-Mikhlin type theorem on non-commutative spaces, http://dx.doi.org/10.48550/arxiv.2503.01240
, 2025, Hörmander type Fourier multiplier theorem and Nikolskii inequality on quantum tori, and applications, http://dx.doi.org/10.48550/arxiv.2402.17353
, 2025, $L^p -L^q$ boundedness of Fourier multipliers on quantum Euclidean spaces, http://dx.doi.org/10.48550/arxiv.2312.00657
, 2025, Sobolev inequality and its applications to nonlinear PDE on noncommutative Euclidean spaces, http://dx.doi.org/10.48550/arxiv.2408.09100
, 2025, Fourier multipliers and their applications to PDE on the quantum Euclidean space, http://dx.doi.org/10.48550/arxiv.2504.07604
, 2025, A note on $L^p$-$L^q$ boundedness of Fourier multipliers on noncommutative spaces, http://dx.doi.org/10.48550/arxiv.2408.08643
, 2020, Corrigendum to the paper "The optimal range of the Calderon operator and its applications." [J. Funct. Anal. 277 (2019), no. 10, 3513--3559, arXiv:1908.09548], http://dx.doi.org/10.48550/arxiv.2004.13311
, 2020, The non-commutative Hardy-Littlewood maximal function on symmetric spaces of $τ-$measurable operators, http://dx.doi.org/10.48550/arxiv.2002.04413
, 2019, Conditional expectation on non-commutative $H^{(r,s)}_{p}(\mathcal A;\ell_{\infty})$ and $H_{p}(\mathcal A;\ell_{1})$ spaces : semifinite case, http://dx.doi.org/10.48550/arxiv.1909.00534
, 2019, Correctness of the definition of the Laplace operator with delta-like potentials, http://dx.doi.org/10.48550/arxiv.1908.10277
, 2019, Noetherian solvability of an operator singular integral equation with a Carleman shift in fractional spaces, http://dx.doi.org/10.48550/arxiv.1908.10276
, 2019, Singular perturbations of Laplace operator and their resolvents, http://dx.doi.org/10.48550/arxiv.1908.09537
, 2019, The optimal symmetric quasi-Banach range of the discrete Hilbert transform, http://dx.doi.org/10.48550/arxiv.1908.09542