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pro vyhledávání: '"Park, Bae Jun"'
Autor:
Park, Bae Jun
In this work, we establish $L^{p_1}\times \cdots\times L^{p_1}\to L^p$ bounds for maximal multi-(sub)linear singular integrals associated with homogeneous kernels $\frac{\Omega(\vec{\boldsymbol{y}}')}{|\vec{\boldsymbol{y}}|^{mn}}$ where $\Omega$ is a
Externí odkaz:
http://arxiv.org/abs/2409.00357
Autor:
Park, Bae Jun, Tomita, Naohito
In this paper, we study sharp maximal function estimates for multilinear pseudo-differential operators. Our target is operators of type (0, 0) for which a differentiation does not make any decay of the associated symbol. Analogous results for operato
Externí odkaz:
http://arxiv.org/abs/2405.02093
We prove a sharp criterion for the boundedness of bilinear Fourier multiplier operators associated with symbols obtained by summing all dyadic dilations of a given bounded function $m_0$ compactly supported away from the origin. Our result admits the
Externí odkaz:
http://arxiv.org/abs/2402.15785
Autor:
Park, Bae Jun
Shifted variants of (dyadic) Hardy-Littlewood maximal function and Stein's square function have played a significant role in the study of many important operators such as Calderon commutators, (bilinear) Hilbert transforms, multilinear multipliers, a
Externí odkaz:
http://arxiv.org/abs/2401.17785
Autor:
Park, Bae Jun, Tomita, Naohito
In this paper, we study pointwise estimates for linear and multilinear pseudo-differential operators with exotic symbols in terms of the Fefferman-Stein sharp maximal function and Hardy-Littlewood type maximal function. Especially in the multilinear
Externí odkaz:
http://arxiv.org/abs/2310.14275
In this paper, we investigate the H\"ormander type theorems for the multi-linear and multi-parameter Fourier multipliers. When the multipliers are characterized by $L^u$-based Sobolev norms for $1
Externí odkaz:
http://arxiv.org/abs/2306.08462
We study $m$-linear homogeneous rough singular integral operators $\mathcal{L}_{\Omega}$ associated with integrable functions $\Omega$ on $\mathbb{S}^{mn-1}$ with mean value zero. We prove boundedness for $\mathcal{L}_{\Omega}$ from $L^{p_1}\times \c
Externí odkaz:
http://arxiv.org/abs/2207.00764
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:
Park, Bae Jun, Tomita, Naohito
Publikováno v:
In Journal of Functional Analysis 15 December 2024 287(12)
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