Search Results - "Han, YanChang"
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1
Geometric Characterizations of Embedding Theorems: For Sobolev, Besov, and Triebel–Lizorkin Spaces on Spaces of Homogeneous Type—via Orthonormal Wavelets
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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2
Geometry and Hardy spaces on spaces of homogeneous type in the sense of Coifman and Weiss
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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3
Characterization of compactness of commutators of bilinear singular integral operators
Published in Proceedings of the American Mathematical Society (01-09-2018)“…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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4
Pointwise Multipliers of Triebel-Lizorkin Spaces on Carnot-Carathéodory Spaces
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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5
Pointwise Multipliers on Spaces of Homogeneous Type in the Sense of Coifman and Weiss
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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6
New characterizations of Besov and Triebel–Lizorkin spaces over spaces of homogeneous type
Published in Journal of mathematical analysis and applications (2007)“…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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7
Criterion of the boundedness of singular integrals on spaces of homogeneous type
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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8
Pointwise multipliers of Besov spaces on Carnot–Carathéodory spaces
Published in Journal of mathematical analysis and applications (15-12-2012)“…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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9
Embedding theorem on RD-spaces
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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10
POINTWISE MULTIPLIERS ON INHOMOGENEOUS BESOV AND TRIEBEL-LIZORKIN SPACES IN THE SETTING OF SPACES OF HOMOGENEOUS TYPE
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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11
Besov spaces via wavelets on metric spaces endowed with doubling measure, singular integral, and the T1 type theorem
Published in Mathematical methods in the applied sciences (15-07-2017)“…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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12
Hardy and Carleson Measure Spaces Associated with Operators on Spaces of Homogeneous Type
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
POINTWISE MULTIPLIERS ON INHOMOGENEOUS BESOV AND TRIEBEL-LIZORKIN SPACES IN THE SETTING OF SPACES OF HOMOGENEOUS TYPE
Published in Taiwanese journal of mathematics (22-01-2013)Get full text
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14
POINTWISE MULTIPLIERS ON INHOMOGENEOUS BESOV AND TRIEBEL-LIZORKIN SPACES IN THESETTING OF SPACES OF HOMOGENEOUS TYPE
Published in Taiwanese journal of mathematics (01-01-2013)Get full text
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15
Tb$ theorems for Triebel-Lizorkin spaces over special spaces of homogeneous type and their applications
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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16
Singular integral operators, $T1$ theorem, Littlewood-Paley theory and Hardy spaces in Dunkl Setting
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
Criterion of the boundedness of singular integrals on spaces of homogeneous type
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…”
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18
Geometric characterizations of embedding theorems
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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19
Marcinkiewicz multipliers and Lipschitz spaces on Heisenberg groups
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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20
Characterization of compactness of commutators of bilinear singular integral operators
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…”
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