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Applicable Analysis
An International Journal
Volume 92, 2013 - Issue 3
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Articles

Relations among Besov-type spaces, Triebel–Lizorkin-type spaces and generalized Carleson measure spaces

Dachun Yang School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Ministry of Education, 100875 Beijing, People's Republic of China
&
Wen Yuan School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Ministry of Education, 100875 Beijing, People's Republic of ChinaCorrespondence[email protected]
Pages 549-561 | Received 04 Sep 2011, Accepted 30 Sep 2011, Published online: 14 Nov 2011

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Wen Yuan, Dorothee D. Haroske, Leszek Skrzypczak & Dachun Yang. (2015) Embedding properties of Besov-type spaces. Applicable Analysis 94:2, pages 318-340.
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Articles from other publishers (40)

Jingsong Sun, Dachun Yang & Wen Yuan. (2024) A framework of Besov–Triebel–Lizorkin type spaces via ball quasi-Banach function sequence spaces I: real-variable characterizations. Mathematische Annalen.
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Yoshihiro Sawano, Dachun Yang & Wen Yuan. (2024) Non-smooth atomic decomposition of Triebel–Lizorkin-type spaces. Banach Journal of Mathematical Analysis 18:2.
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Haowen Lu & Liding Yao. (2023) On Seeley‐type universal extension operators for the upper half space. Mathematische Nachrichten 297:3, pages 811-832.
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Helena F. Gonçalves, Dorothee D. Haroske & Leszek Skrzypczak. (2023) Limiting embeddings of Besov-type and Triebel-Lizorkin-type spaces on domains and an extension operator. Annali di Matematica Pura ed Applicata (1923 -) 202:5, pages 2481-2516.
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Dorothee D. Haroske & Hans Triebel. (2023) Morrey smoothness spaces: A new approach. Science China Mathematics 66:6, pages 1301-1358.
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Zouheyr Zeghad & Douadi Drihem. (2022) Variable Besov-type Spaces. Acta Mathematica Sinica, English Series 39:4, pages 553-583.
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Liding Yao. (2023) Some Intrinsic Characterizations of Besov–Triebel–Lizorkin–Morrey–Type Spaces on Lipschitz Domains. Journal of Fourier Analysis and Applications 29:2.
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Helena F. Gonçalves, Dorothee D. Haroske & Leszek Skrzypczak. (2020) Compact embeddings in Besov-type and Triebel–Lizorkin-type spaces on bounded domains. Revista Matemática Complutense 34:3, pages 761-795.
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A. El Baraka & M. Masrour. (2020) Regularity results for solutions of linear elliptic degenerate boundary-value problems. Arabian Journal of Mathematics 9:3, pages 545-566.
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A. El Baraka & M. Masrour. (2020) Estimates for solutions of a class of linear elliptic degenerate operators in Besov-type spaces. Advances in Operator Theory 5:4, pages 1541-1579.
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Dorothee D. Haroske, Susana D. Moura & Leszek Skrzypczak. (2020) Some Embeddings of Morrey Spaces with Critical Smoothness. Journal of Fourier Analysis and Applications 26:3.
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Douadi Drihem. (2019) Variable Triebel–Lizorkin-Type Spaces. Bulletin of the Malaysian Mathematical Sciences Society 43:2, pages 1817-1856.
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Susana Moura, Júlio Neves & Cornelia Schneider. (2019) Traces and extensions of generalized smoothness Morrey spaces on domains. Nonlinear Analysis 181, pages 311-339.
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Qixiang Yang & Hua Wang. (2018) Wavelets and local Triebel–Lizorkin spaces with the Lorentz index. Mathematical Methods in the Applied Sciences 42:1, pages 237-249.
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Azzeddine El Baraka & Mohammed Masrour. (2017) A-priori Estimates Near the Boundary for Solutions of a class of Degenerate Elliptic Problems in Besov-type Spaces. Moroccan Journal of Pure and Applied Analysis 3:2, pages 149-172.
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Dorothee D. Haroske, Susana D. Moura, Cornelia Schneider & Leszek Skrzypczak. (2017) Unboundedness properties of smoothness Morrey spaces of regular distributions on domains. Science China Mathematics 60:12, pages 2349-2376.
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Ciqiang Zhuo, Winfried Sickel, Dachun Yang & Wen Yuan. (2018) Characterizations of Besov-Type and Triebel–Lizorkin–Type Spaces via Averages on Balls. Canadian Mathematical Bulletin 60:3, pages 655-672.
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Suqing Wu, Dachun Yang & Wen Yuan. (2017) Equivalent Quasi-Norms of Besov–Triebel–Lizorkin-Type Spaces via Derivatives. Results in Mathematics 72:1-2, pages 813-841.
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Yanchang Han, Ji Li & Chaoqiang Tan. (2016) Besov spaces via wavelets on metric spaces endowed with doubling measure, singular integral, and the T1 type theorem. Mathematical Methods in the Applied Sciences 40:10, pages 3580-3598.
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Dachun Yang, Wen Yuan & Yuan Zhou. (2016) Sharp Boundedness of Quasiconformal Composition Operators on Triebel–Lizorkin Type Spaces. The Journal of Geometric Analysis 27:2, pages 1548-1588.
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Vagif S. Guliyev, Sabir G. Hasanov, Yoshihiro Sawano & Takahiro Noi. (2016) Non-smooth Atomic Decompositions for Generalized Orlicz–Morrey Spaces of the Third Kind. Acta Applicandae Mathematicae 145:1, pages 133-174.
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Douadi Drihem. (2016) Characterization of variable Besov-type spaces by ball means of differences. Kyoto Journal of Mathematics 56:3.
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Dorothee D. Haroske, Susana D. Moura & Leszek Skrzypczak. (2016) Smoothness Morrey Spaces of regular distributions, and some unboundedness property. Nonlinear Analysis: Theory, Methods & Applications 139, pages 218-244.
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Liguang Liu, Dachun Yang & Wen Yuan. (2015) Besov-type and Triebel–Lizorkin-type spaces associated with heat kernels. Collectanea Mathematica 67:2, pages 247-310.
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Shohei Nakamura, Takahiro Noi & Yoshihiro Sawano. (2015) Generalized Morrey spaces and trace operator. Science China Mathematics 59:2, pages 281-336.
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Dorothee D. Haroske & Susana D. Moura. (2016) Some specific unboundedness property in smoothness Morrey spaces. The non-existence of growth envelopes in the subcritical case. Acta Mathematica Sinica, English Series 32:2, pages 137-152.
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Yoshihiro Sawano, Denny Ivanal Hakim & Hendra Gunawan. (2015) Non‐smooth atomic decomposition for generalized Orlicz‐Morrey spaces. Mathematische Nachrichten 288:14-15, pages 1741-1775.
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Wen Yuan, Dorothee D. Haroske, Leszek Skrzypczak & Dachun Yang. (2015) Embedding properties of weighted Besov-type spaces. Analysis and Applications 13:05, pages 507-553.
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Dachun Yang, Ciqiang Zhuo & Wen Yuan. (2015) Besov-type spaces with variable smoothness and integrability. Journal of Functional Analysis 269:6, pages 1840-1898.
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Wen Yuan, Winfried Sickel & DaChun Yang. (2015) Interpolation of Morrey-Campanato and related smoothness spaces. Science China Mathematics 58:9, pages 1835-1908.
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Wen Yuan, Dorothee D. Haroske, Susana D. Moura, Leszek Skrzypczak & Dachun Yang. (2015) Limiting embeddings in smoothness Morrey spaces, continuity envelopes and applications. Journal of Approximation Theory 192, pages 306-335.
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Douadi Drihem. (2015) Some properties of variable Besov-type spaces. Functiones et Approximatio Commentarii Mathematici 52:2.
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Ciqiang Zhuo, Dachun Yang & Wen Yuan. (2014) Hausdorff Besov-type and Triebel–Lizorkin-type spaces and their applications. Journal of Mathematical Analysis and Applications 412:2, pages 998-1018.
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JingShi Xu. (2013) Decompositions of non-homogeneous Herz-type Besov and Triebel-Lizorkin spaces. Science China Mathematics 57:2, pages 315-331.
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Dachun Yang, Wen Yuan & Ciqiang Zhuo. (2013) Musielak–Orlicz Besov-type and Triebel–Lizorkin-type spaces. Revista Matemática Complutense 27:1, pages 93-157.
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Da-chun Yang & Wen Yuan. (2013) Function spaces of Besov-type and Triebel-Lizorkin-type — a survey. Applied Mathematics-A Journal of Chinese Universities 28:4, pages 405-426.
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Wen Yuan, Winfried Sickel & Dachun Yang. (2013) Compact embeddings of radial and subradial subspaces of some Besov-type spaces related to Morrey spaces. Journal of Approximation Theory 174, pages 121-139.
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Wen Yuan, Winfried Sickel & Dachun Yang. (2013) On the coincidence of certain approaches to smoothness spaces related to Morrey spaces. Mathematische Nachrichten 286:14-15, pages 1571-1584.
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DACHUN YANG, WEN YUAN & CIQIANG ZHUO. (2013) COMPLEX INTERPOLATION ON BESOV-TYPE AND TRIEBEL–LIZORKIN-TYPE SPACES. Analysis and Applications 11:05, pages 1350021.
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Canqin Tang. (2013) A Note on Weighted Besov-Type and Triebel-Lizorkin-Type Spaces. Journal of Function Spaces and Applications 2013, pages 1-12.
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