Zobrazeno 1 - 10
of 24
pro vyhledávání: '"Yaryong Heo"'
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
Autor:
Yaryong Heo
Publikováno v:
Integral Equations and Operator Theory. 86:185-208
In this paper we examine various singular maximal operators, extending the class of operators which have been studied extensively in the past. It extends work that has been done in the one-parameter to the multi-parameter setting. We obtain the \(L^p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f39f685f4ba28d04aa408632528c6d7c
https://doi.org/10.1007/s00020-016-2328-8
https://doi.org/10.1007/s00020-016-2328-8
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