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Some topics in harmonic analysis and applications. Special volume dedicated to Shanzhen Lu on the occasion of his 75th birthday. (English) Zbl 1342.42001

Advanced Lectures in Mathematics (ALM) 34. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-315-9/pbk). vi, 422 p. (2016).

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The articles of this volume will be reviewed individually.
Indexed articles:
Beckner, William, Multilinear embedding and Hardy’s inequality, 1-26 [Zbl 1345.42027]
Chang, Der-Chen; Yang, Dachun; Yang, Sibei, Real-variable theory of Orlicz-type function spaces associated with operators - a survey, 27-70 [Zbl 1346.42001]
Chen, Jiecheng; Fan, Dashan; Wang, Meng, Boundedness of rough strongly singular integral operators, 71-91 [Zbl 1345.42010]
Criado, Alberto; Soria, Fernando, On the dimension dependence of some weighted inequalities, 93-112 [Zbl 1345.42023]
Dai, Wei; Lu, Guozhen; Zhang, Lu, \(L^p\) estimates for multi-parameter and multilinear Fourier multipliers and pseudo-differential operators, 113-144 [Zbl 1345.42007]
Demirbas, Seckin; Erdoğan, M. Burak; Tzirakis, Nikolaos, Existence and uniqueness theory for the fractional Schrödinger equation on the torus, 145-162 [Zbl 1345.35129]
Ding, Yong; Mei, Ting; Xue, Qingying, Compactness of maximal commutators of bilinear Calderón-Zygmund singular integral operators, 163-175 [Zbl 1345.42024]
Grafakos, Loukas; He, Danqing, Weak Hardy spaces, 177-202 [Zbl 1345.42026]
Grau de la Herrán, Ana; Hofmann, Steve, A local \(Tb\) theorem with vector-valued testing functions, 203-229 [Zbl 1345.42012]
Lacey, Michael T.; Vähäkangas, Antti V., Non-homogeneous local \(T1\) theorem: dual exponents, 231-264 [Zbl 1345.42017]
Miao, Changxing; Xu, Guixiang; Zhao, Lifeng, The dynamics of the NLS with the combined terms in five and higher dimensions, 265-298 [Zbl 1350.35183]
Miyachi, Akihiko; Tomita, Naohito, Sharp estimates for bilinear Fourier multiplier operators, 299-329 [Zbl 1345.42009]
Sawano, Yoshihiro; Yabuta, Kôzô, Weighted estimates for fractional type Marcinkiewicz integral operators associated to surfaces, 331-367 [Zbl 1345.42020]
Shen, Zhongwei, Commutator estimates for the Dirichlet-to-Neumann map in Lipschitz domains, 369-384 [Zbl 1348.35076]
Sogge, Christopher D.; Zelditch, Steve, A note on \(L^p\)-norms of quasi-modes, 385-397 [Zbl 1364.35219]
Volberg, Alexander, Astala’s conjecture from the point of view of singular integrals on metric spaces, 399-405 [Zbl 1345.42021]
Xiao, Jie; Zhai, Zhichun, C. S. I. for Besov spaces \({\dot\Lambda}_{\alpha}^{p, q} ({\mathbb R}^n)\) with \((\alpha, (p, q)) \in (0, 1) \times ((0, 1] \times (0, 1] \setminus \{ (1, 1) \})\), 407-419 [Zbl 1359.46040]

MSC:

42-06 Proceedings, conferences, collections, etc. pertaining to harmonic analysis on Euclidean spaces
42Bxx Harmonic analysis in several variables
46E30 Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
35L70 Second-order nonlinear hyperbolic equations
35Qxx Partial differential equations of mathematical physics and other areas of application
58J50 Spectral problems; spectral geometry; scattering theory on manifolds
00B15 Collections of articles of miscellaneous specific interest
00B30 Festschriften

Biographic References:

Lu, Shanzhen
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