Zobrazeno 1 - 5
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pro vyhledávání: '"Runlian Xia"'
Autor:
Runlian Xia
Publikováno v:
Journal of Operator Theory. 82:383-443
This paper gives a systematic study of operator-valued local\break Hardy spaces, which are localizations of the Hardy spaces defined by Mei. We prove the h1-bmo duality and the hp-hq duality for any conjugate pair (p,q) when p∈(1,∞). We show that
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6c748c38fbd0b07255b8f46cc71334ee
https://doi.org/10.7900/jot.2018jun02.2191
https://doi.org/10.7900/jot.2018jun02.2191
Publikováno v:
Digital.CSIC. Repositorio Institucional del CSIC
instname
instname
Calder´on-Zygmund theory has been traditionally developed on metric measure spaces satisfying additional regularity properties. In the lack of good metrics, we introduce a new approach for general measure spaces which admit a Markov semigroup satisf
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1b0fb2ba7009b17d5cb9072093142551
http://hdl.handle.net/10261/228886
http://hdl.handle.net/10261/228886
Publikováno v:
Advances in Mathematics. 291:183-227
This paper studies the operator-valued Hardy spaces introduced and studied by Tao Mei. Our principal result shows that the Poisson kernel in Mei's definition of these spaces can be replaced by any reasonable test function. As an application, we get a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2b4e73d21ba51deb6d11bbc555550aa3
https://doi.org/10.1016/j.aim.2015.12.023
https://doi.org/10.1016/j.aim.2015.12.023
Autor:
Runlian Xia, Xiao Xiong
Publikováno v:
Integral Equations and Operator Theory. 90
This paper is devoted to the study of operator-valued Triebel–Lizorkin spaces. We develop some Fourier multiplier theorems for square functions as our main tool, and then study the operator-valued Triebel–Lizorkin spaces on $$\mathbb {R}^d$$ . As
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::33b787deb32d1f91c3e7b0d4371b50e7
https://doi.org/10.1007/s00020-018-2491-1
https://doi.org/10.1007/s00020-018-2491-1
Autor:
Runlian Xia, Xiao Xiong
Publikováno v:
Journal of Functional Analysis
Journal of Functional Analysis, Elsevier, 2019, 277, pp.2918-2980. ⟨10.1016/j.jfa.2019.06.015⟩
Journal of Functional Analysis, Elsevier, 2019, 277, pp.2918-2980. ⟨10.1016/j.jfa.2019.06.015⟩
In this paper, we investigate the mapping properties of pseudo-differential operators with operator-valued symbols. Thanks to the smooth atomic decomposition of the operator-valued Triebel-Lizorkin spaces $F_1^{\alpha,c}(\mathbb{R}^d,\mathcal{M})$ ob
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d773d0d333584ef6b8aee55ef18e57ab
http://arxiv.org/abs/1804.03435
http://arxiv.org/abs/1804.03435