Zobrazeno 1 - 10
of 37
pro vyhledávání: '"Sunggeum Hong"'
Autor:
Jongho Lee, Sunggeum Hong, Bae Jun Park, Jin Bong Lee, Yejune Park, Yaryong Heo, Chan Woo Yang
Publikováno v:
Mathematische Annalen. 381:499-555
In this paper, we study the Hormander multiplier theorem for multilinear operators. We generalize the result of Tomita (J Funct Anal 259(8):2028–2044, 2010) to wider target spaces and extend that of Grafakos and Van Nguyen (Monatsh Math 190(4):735
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e280269529eecf3410e9321a53449ccc
https://doi.org/10.1007/s00208-021-02162-1
https://doi.org/10.1007/s00208-021-02162-1
Publikováno v:
Mathematical Research Letters. 27:397-434
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::74882142b22dbd9467eb8e522e0e028a
https://doi.org/10.4310/mrl.2020.v27.n2.a4
https://doi.org/10.4310/mrl.2020.v27.n2.a4
Publikováno v:
Journal of Mathematical Analysis and Applications. 456:628-661
In this paper, we establish the sharp L p boundedness for the bilinear integral operators with certain hypersingularities that generalize the bilinear Hilbert transform.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f966793250cb452933024e71ed93b576
https://doi.org/10.1016/j.jmaa.2017.07.005
https://doi.org/10.1016/j.jmaa.2017.07.005
Publikováno v:
Transactions of the American Mathematical Society. 369:4597-4629
Let U \mathrm {U} be a bounded open subset of R d \mathbb {R}^d and let Ω \Omega be a Lebesgue measurable subset of U \mathrm {U} . Let γ = ( γ 1 , ⋯ , γ n ) : U ∖ Ω → R n \gamma =(\gamma _1, \cdots , \gamma _n) : \mathrm {U}\setminus \Ome
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e6f7bf9a6bc7910ecf524918dfbb9454
https://doi.org/10.1090/tran/6785
https://doi.org/10.1090/tran/6785
Publikováno v:
Journal of Functional Analysis. 279:108652
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c264e044f2788cbea27535c0f3365972
https://doi.org/10.1016/j.jfa.2020.108652
https://doi.org/10.1016/j.jfa.2020.108652
Publikováno v:
Taiwanese J. Math. 22, no. 6 (2018), 1383-1401
We consider the maximal operators whose averages are taken over some non-smooth and non-convex hypersurfaces. For each $1 \leq i \leq d-1$, let $\phi_i \colon [-1,1] \to \mathbb{R}$ be a continuous function satisfying some derivative conditions, and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5e06c9c6ed187d2fe7804a5f66dd4b4b
https://projecteuclid.org/euclid.twjm/1520992816
https://projecteuclid.org/euclid.twjm/1520992816
Publikováno v:
Journal of Mathematical Analysis and Applications. 423:1867-1871
The proof of Proposition 1.1 in S. Hong et al. (2014) [3] is erroneous and we reprove it.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7118ef0c2a5f57a14e67de46c5bd0b15
https://doi.org/10.1016/j.jmaa.2014.11.002
https://doi.org/10.1016/j.jmaa.2014.11.002
Publikováno v:
Bulletin of the Korean Mathematical Society. 51:965-978
In this paper we establish sharp L p -regularity estimates for averaging operators with convolution kernel associated to hypersurfaces in Rd(d ≥ 2) of the form y 7→(y,(y)) where y ∈ Rd−1 and (y) = P d−1 i=1 ±|yi| mi with 2 ≤ m1 ≤ ··
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c03e52b859b91c8c5901162a45efb588
https://doi.org/10.4134/bkms.2014.51.4.965
https://doi.org/10.4134/bkms.2014.51.4.965
Publikováno v:
Journal of Mathematical Analysis and Applications. 412:244-268
We prove sharp L p -Sobolev estimates for averaging operators associated with a certain type of convex hypersurface in R 3 .
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::21fedff2a1521f5f2a3e16ccb7b0c2d9
https://doi.org/10.1016/j.jmaa.2013.08.069
https://doi.org/10.1016/j.jmaa.2013.08.069
Publikováno v:
Journal of Mathematical Analysis and Applications. 399:38-49
In this note, we consider L p and maximal L p estimates for the generalized Riesz means which are associated with the cylindrical distance function ρ ( ξ ) = max { | ξ ′ | , | ξ d + 1 | } , ( ξ ′ , ξ d + 1 ) ∈ R d × R . We prove these es
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::349a3c32f1a0472c86f583293fdf217d
https://doi.org/10.1016/j.jmaa.2012.09.048
https://doi.org/10.1016/j.jmaa.2012.09.048