Search Results - "Han, YanChang"

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  1. 1

    Geometric Characterizations of Embedding Theorems: For Sobolev, Besov, and Triebel–Lizorkin Spaces on Spaces of Homogeneous Type—via Orthonormal Wavelets by Han, Yanchang, Han, Yongsheng, He, Ziyi, Li, Ji, Pereyra, Cristina

    Published in The Journal of geometric analysis (01-09-2021)
    “…It was well known that geometric considerations enter in a decisive way in many questions. The embedding theorem arises in several problems from partial…”
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    Journal Article
  2. 2

    Geometry and Hardy spaces on spaces of homogeneous type in the sense of Coifman and Weiss by Han, YanChang, Han, YongSheng, Li, Ji

    Published in Science China. Mathematics (01-11-2017)
    “…It is known that the space of homogeneous type introduced by Coifman and Weiss(1971) provides a very natural setting for establishing a theory of Hardy spaces…”
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    Journal Article
  3. 3

    Characterization of compactness of commutators of bilinear singular integral operators by CHAFFEE, LUCAS, CHEN, PENG, HAN, YANCHANG, TORRES, RODOLFO H., WARD, LESLEY A.

    “…The commutators of bilinear Calderón-Zygmund operators and pointwise multiplication with a symbol in \textup {CMO} are bilinear compact operators on products…”
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    Journal Article
  4. 4

    Pointwise Multipliers of Triebel-Lizorkin Spaces on Carnot-Carathéodory Spaces by Han, Yanchang, Wang, Fang

    Published in Journal of function spaces (01-01-2012)
    “…Let (𝒳,d,μ) be a Carnot-Carathéodory space, namely, 𝒳 is a smooth manifold, d is a control, or Carnot-Carathéodory, metric induced by a collection of vector…”
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    Journal Article
  5. 5

    Pointwise Multipliers on Spaces of Homogeneous Type in the Sense of Coifman and Weiss by Han, Yanchang, Liu, Zongguang, Liao, Fanghui

    Published in Abstract and Applied Analysis (01-01-2014)
    “…By applying the remarkable orthonormal basis constructed recently by Ausher and Hytönen on spaces ofhomogeneous type in the sense of Coifman and Weiss,…”
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    Journal Article
  6. 6

    New characterizations of Besov and Triebel–Lizorkin spaces over spaces of homogeneous type by Han, Yanchang, Xu, Yanbo

    “…Using the T1 theorem for the Besov and Triebel–Lizorkin spaces, we give new characterizations of Besov and Triebel–Lizorkin spaces with minimum regularity and…”
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    Journal Article
  7. 7

    Criterion of the boundedness of singular integrals on spaces of homogeneous type by Han, Yanchang, Han, Yongsheng, Li, Ji

    Published in Journal of functional analysis (15-12-2016)
    “…It was well known that geometric considerations enter in a decisive way in many questions of harmonic analysis. The main purpose of this paper is to provide…”
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    Journal Article
  8. 8

    Pointwise multipliers of Besov spaces on Carnot–Carathéodory spaces by Han, Yanchang

    “…Let (X,d,μ) be a Carnot–Carathéodory space, namely, X is a smooth manifold, d is a control, or Carnot–Carathéodory, metric induced by a collection of vector…”
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    Journal Article
  9. 9

    Embedding theorem on RD-spaces by Han, Yanchang

    Published in Journal of inequalities and applications (17-03-2015)
    “…An RD-space ( X , d , μ ) is a space of homogeneous type in the sense of Coifman and Weiss with the additional property that a reverse doubling property holds…”
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    Journal Article
  10. 10

    POINTWISE MULTIPLIERS ON INHOMOGENEOUS BESOV AND TRIEBEL-LIZORKIN SPACES IN THE SETTING OF SPACES OF HOMOGENEOUS TYPE by Han, Yanchang

    Published in Taiwanese journal of mathematics (01-02-2013)
    “…Using the discrete Calderón reproducing formula in [9] and the Plancherel-Pôlya characterization of the inhomogeneous Besov and Triebel-Lizorkin spaces…”
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    Journal Article
  11. 11

    Besov spaces via wavelets on metric spaces endowed with doubling measure, singular integral, and the T1 type theorem by Han, Yanchang, Li, Ji, Tan, Chaoqiang

    “…The aim of this paper is twofold. We first establish the Besov spaces on metric spaces endowed with a doubling measure, via the remarkable orthonormal wavelet…”
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    Journal Article
  12. 12

    Hardy and Carleson Measure Spaces Associated with Operators on Spaces of Homogeneous Type by Han, Yanchang, Han, Yongsheng, Li, Ji, Tan, Chaoqiang

    Published in Potential analysis (01-08-2018)
    “…Let ( X , d , μ ) be a metric measure space with doubling property. The Hardy spaces associated with operators L were introduced and studied by many authors…”
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  13. 13
  14. 14
  15. 15

    Tb$ theorems for Triebel-Lizorkin spaces over special spaces of homogeneous type and their applications by Han, Yanchang

    Published in Collectanea mathematica (Barcelona) (01-01-2008)
    “…The author first establishes the $Tb$ theorems for Triebel-Lizorkin spaces by the discrete Calderón type reproducing formula and the Plancherel-P\^{o}lya…”
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    Journal Article
  16. 16

    Singular integral operators, $T1$ theorem, Littlewood-Paley theory and Hardy spaces in Dunkl Setting by Tan, Chaoqian, Han, Yanchang, Han, Yongsheng, Lee, Ming-Yi, Li, Ji

    Published 04-04-2022
    “…The purpose of this paper is to introduce a new class of singular integral operators in the Dunkl setting involving both the Euclidean metric and the Dunkl…”
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  17. 17

    Criterion of the boundedness of singular integrals on spaces of homogeneous type by Han, Yanchang, Han, Yongsheng, Li, Ji

    Published 15-12-2015
    “…It was well known that geometric considerations enter in a decisive way in many questions of harmonic analysis. The main purpose of this paper is to provide…”
    Get full text
    Journal Article
  18. 18

    Geometric characterizations of embedding theorems by Han, Yanchang, Han, Yongsheng, Li, Ji

    Published 15-12-2015
    “…The embedding theorem arises in several problems from analysis and geometry. The purpose of this paper is to provide a deeper understanding of analysis and…”
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    Journal Article
  19. 19

    Marcinkiewicz multipliers and Lipschitz spaces on Heisenberg groups by Han, Yanchang, Han, Yongsheng, Li, Ji, Tan, Chaoqiang

    Published 15-11-2016
    “…Can. J. Math.-J. Can. Math. 71 (2019) 607-627 The Marcinkiewicz multipliers are $L^{p}$ bounded for $1<p<\infty $ on the Heisenberg group $\mathbb{H}^{n}\simeq…”
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    Journal Article
  20. 20

    Characterization of compactness of commutators of bilinear singular integral operators by Chaffee, Lucas, Chen, Peng, Han, Yanchang, Torres, Rodolfo, Ward, Lesley A

    Published 06-09-2017
    “…The commutators of bilinear Calder\'on-Zygmund operators and point-wise multiplication with a symbol in $cmo$ are bilinear compact operators on product of…”
    Get full text
    Journal Article