Zobrazeno 1 - 10
of 25
pro vyhledávání: '"Fanghui Liao"'
Publikováno v:
AIMS Mathematics, Vol 9, Iss 11, Pp 30572-30596 (2024)
In this paper, we introduced a new class of weak Hardy spaces, denoted by $ H^{p, \infty}_b $, and provided an analysis of their atomic decomposition. As an application, we established the boundedness of Calderón-Zygmund operators (CZOs) from $ H^p
Externí odkaz:
https://doaj.org/article/ec80ff55e18741d09bd82fc1ca92f572
Publikováno v:
Abstract and Applied Analysis, Vol 2014 (2014)
By applying the remarkable orthonormal basis constructed recently by Ausher and Hytönen on spaces of homogeneous type in the sense of Coifman and Weiss, pointwise multipliers of inhomogeneous Besov and Triebel-Lizorkin spaces are obtained. We make n
Externí odkaz:
https://doaj.org/article/04c83eaabf13408e8506175c090eba3e
Publikováno v:
Abstract and Applied Analysis, Vol 2014 (2014)
Let (X,d,μ) be a space of homogeneous type in the sense of Coifman and Weiss, where the quasi-metric d may have no regularity and the measure μ satisfies only the doubling property. Adapting the recently developed randomized dyadic structures of X
Externí odkaz:
https://doaj.org/article/b40706897e3f48379cf2f808455aa30e
Publikováno v:
Journal of Function Spaces, Vol 2014 (2014)
We introduce Triebel-Lizorkin and Besov spaces by Calderón’s reproducing formula on product spaces of homogeneous type. We also obtain smooth atomic and molecular decompositions for these spaces.
Externí odkaz:
https://doaj.org/article/69e73aa566d94abc9163341c4b28d3f6
Publikováno v:
Mathematical Inequalities & Applications; 2023, Vol. 26 Issue 4, p1055-1069, 17p
Autor:
Zhengyang Li, Fanghui Liao
Publikováno v:
Frontiers of Mathematics in China. 15:333-349
Suppose that g(f) are bi-parameter Littlewood-Paley square functions which were introduced by H. Martikainen. It is known that the L2(ℝn × ℝm) boundedness and the H1 (ℝn × ℝm)-L1(ℝn × ℝm) boundedness of g(f) have been proved by H. Mart
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::db5051ab6e65ba0ec8b671234388586e
https://doi.org/10.1007/s11464-020-0821-5
https://doi.org/10.1007/s11464-020-0821-5
Publikováno v:
The Journal of Geometric Analysis. 32
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::af8ad1968031d045d8370799a7edbf67
https://doi.org/10.1007/s12220-021-00864-1
https://doi.org/10.1007/s12220-021-00864-1
Autor:
Hongbin Wang, Fanghui Liao
Publikováno v:
Chinese Annals of Mathematics, Series B. 41:99-116
Let Ω ∈ Ls(Sn−1) (s > 1) be a homogeneous function of degree zero and b be a BMO function or Lipschitz function. In this paper, the authors obtain some boundedness of the Calderon-Zygmund singular integral operator TΩ and its commutator [b, TΩ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f8056c3a9a91a07a6d54f77dbe0e5767
https://doi.org/10.1007/s11401-019-0188-7
https://doi.org/10.1007/s11401-019-0188-7
Autor:
Fanghui Liao, Hongbin Wang
Publikováno v:
Mathematische Nachrichten. 292:2643-2653
Suppose that T1 is a Calderon–Zygmund operator with isotropic homogeneity and T2 is a Calderon–Zygmund operator with non‐isotropic homogeneity. In this note, the boundedness of the composition operator T1∘T2 on the Hardy space is presented. T
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5e741fef245bca4fb7ae448789356951
https://doi.org/10.1002/mana.201700383
https://doi.org/10.1002/mana.201700383
Publikováno v:
Adv. Oper. Theory 3, no. 3 (2018), 522-537
Using Calderón's reproducing formulas and almost orthogonal estimates, the $T1$ theorem for the inhomogeneous Triebel–Lizorkin and Besov spaces on RD-spaces is obtained. As an application, new characterizations for these spaces with “half” the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::45b23e8057119e9f867bb31bf9d12ad9
https://doi.org/10.15352/aot.1709-1236
https://doi.org/10.15352/aot.1709-1236