Zobrazeno 1 - 10
of 62
pro vyhledávání: '"Lee, Jin Bong"'
Autor:
Lee, Jin Bong, Seo, Jinsol
In this paper, we investigate $L^p$ bounds of maximal Fourier multiplier operators with dilation of fractional dimensions. For the Fourier multipliers, we suggest a criterion related to dimensions of dilation sets which guarantees $L^p$ bounds of the
Externí odkaz:
http://arxiv.org/abs/2405.16855
In this article, we focus on $L^{2}(\mathbb{R}^d)\times\cdots\times L^{2}(\mathbb{R}^d)\rightarrow L^{2/m}(\mathbb{R}^d)$ estimates for multilinear maximal averages over non-degenerate hypersurfaces. Our findings is new for $m$-linear averages with $
Externí odkaz:
http://arxiv.org/abs/2401.03702
In this paper, we study different types of weighted Besov and Triebel-Lizorkin spaces with variable smoothness. The function spaces can be defined by means of the Littlewood-Paley theory in the field of Fourier analysis, while there are other norms a
Externí odkaz:
http://arxiv.org/abs/2309.01359
This paper considers traces at the initial time for solutions of evolution equations with local or non-local derivatives in vector-valued $L_p$ spaces with $A_p$ weight. To achieve this, we begin by introducing a generalized real interpolation method
Externí odkaz:
http://arxiv.org/abs/2309.00370
In this article we focus on $L^{p}$ estimates for two types of multilinear lacunary maximal averages over hypersurfaces with curvature conditions. Moreover, we give a different proof for the bilinear lacunary spherical maximal functions. To obtain ou
Externí odkaz:
http://arxiv.org/abs/2306.04196
In this study, we investigate the existence, uniqueness, and maximal regularity estimates of solutions to homogeneous initial value problems involving time-measurable pseudo-differential operators within the framework of weighted mixed norm Lebesgue
Externí odkaz:
http://arxiv.org/abs/2302.07507
Autor:
Lee, Jin Bong, Seo, Jinsol
In this paper, we introduce a criterion for maximal operators associated with Fourier multipliers to be bounded on $L^p(\mathbb{R}^d)$. Noteworthy examples satisfying the criterion are multipliers of the Mikhlin type or limited decay which are not ne
Externí odkaz:
http://arxiv.org/abs/2206.05609
Autor:
Lee, Jin Bong, Park, Bae Jun
In this paper, we study multilinear Fourier multiplier operators on Hardy spaces. In particular, we prove that the multilinear Fourier multiplier operator of H\"ormander type is bounded from $H^{p_1} \times \cdots \times H^{p_m}$ to $H^p$ for $0
Externí odkaz:
http://arxiv.org/abs/2202.11901
Autor:
Lee, Jin Bong, Park, Bae Jun
In this paper, we obtain the $H^{p_1}\times H^{p_2}\times H^{p_3}\to H^p$ boundedness for trilinear Fourier multiplier operators, which is a trilinear analogue of the multiplier theorem of Calder\'on and Torchinsky (Adv. Math. 24 : 101-171, 1977). Ou
Externí odkaz:
http://arxiv.org/abs/2107.00225
Autor:
Lee, Jin Bong, Seo, Jinsol
Publikováno v:
In Journal of Functional Analysis 15 April 2023 284(8)