Found 99 Documents (Results 1–99)
Geometric characterization of Ahlfors regular spaces in terms of dyadic cubes related to wavelets with its applications to equivalences of Lipschitz spaces. (English) Zbl 07904349
Littlewood-Paley \(g_{\lambda}^*\)-function characterizations of Musielak-Orlicz Hardy spaces on spaces of homogeneous type. (English) Zbl 07849908
Solutions of Weinstein type equations, Carleson measures and \(\mathrm{BMO}(\mathbb{R}_+, dm_\lambda)\). (English) Zbl 1536.35218
Weighted norm inequalities for multilinear strongly singular Calderón-Zygmund operators on RD-spaces. (English) Zbl 1535.42026
Variable exponent Herz-Morrey-Hardy spaces characterized by wavelets and its application. (English) Zbl 07809218
Real-variable characterizations and their applications of matrix-weighted Besov spaces on spaces of homogeneous type. (English) Zbl 1537.46034
Hardy spaces associated with ball quasi-Banach function spaces on spaces of homogeneous type: characterizations of maximal functions, decompositions, and dual spaces. (English) Zbl 1528.42028
Reviewer: Kwok Pun Ho (Hong Kong)
Estimates of Cauchy-Szegő kernel in Hardy spaces on nilpotent Lie groups of step two. (English) Zbl 1525.43007
Alpay, Daniel (ed.) et al., Recent developments in operator theory, mathematical physics and complex analysis. Proceedings of the 32nd international workshop on operator theory and its applications, IWOTA 2021, Chapman University, Orange, CA, USA, August 9–13, 2022. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 290, 389-420 (2023).
Weighted variational inequalities for singular integrals on spaces of homogeneous type. (English) Zbl 1517.42012
Reviewer: Feng Liu (Qingdao)
Pointwise characterization of Besov and Triebel-Lizorkin spaces on spaces of homogeneous type. (English) Zbl 1519.46028
Weighted variable Hardy spaces associated with para-accretive functions and boundedness of Calderón-Zygmund operators. (English) Zbl 1505.42028
Reviewer: Mohammed El Aïdi (Bogotá)
Wavelet characterization of Triebel-Lizorkin spaces for \(p = \infty\) on spaces of homogeneous type and its applications. (English) Zbl 1541.42039
A revisit to the atomic decomposition of weighted Hardy spaces. (English) Zbl 1524.42042
Reviewer: Manfred Stoll (Columbia)
Several remarks on Musielak-Orlicz Hardy spaces. (English) Zbl 1505.42025
Reviewer: Ferenc Weisz (Budapest)
Molecular characterization of weak Hardy spaces associated with ball quasi-Banach function spaces on spaces of homogeneous type with its applications to Littlewood-Paley function characterizations. (English) Zbl 1504.42077
Reviewer: Jian Tan (Nanjing)
Boundedness for a class of operators on weighted Morrey space with RD-measure. (English) Zbl 1513.35422
Difference characterization of Besov and Triebel-Lizorkin spaces on spaces of homogeneous type. (English) Zbl 1505.46036
Reviewer: Hans Triebel (Jena)
Hardy spaces associated with ball quasi-Banach function spaces on spaces of homogeneous type: Littlewood-Paley characterizations with applications to boundedness of Calderón-Zygmund operators. (English) Zbl 1493.42038
Weak Hardy spaces associated with ball quasi-Banach function spaces on spaces of homogeneous type: decompositions, real interpolation, and Calderón-Zygmund operators. (English) Zbl 1493.42037
Reviewer: Kôzô Yabuta (Nishinomiya)
Calderón-Zygmund operators on multiparameter Lipschitz spaces of homogeneous type. (English) Zbl 1486.42019
Real-variable characterizations of local Hardy spaces on spaces of homogeneous type. (English) Zbl 1528.42026
Reviewer: Pablo Alejandro Rocha (Buenos Aires)
Atomic decomposition of product Hardy spaces via wavelet bases on spaces of homogeneous type. (English) Zbl 1482.42061
Besov and Triebel-Lizorkin spaces on spaces of homogeneous type with applications to boundedness of Calderón-Zygmund operators. (English) Zbl 1489.46044
Reviewer: Wen Yuan (Beijing)
Geometric characterizations of embedding theorems: for Sobolev, Besov, and Triebel-Lizorkin spaces on spaces of homogeneous type – via orthonormal wavelets. (English) Zbl 1491.46026
Wavelet characterization of Besov and Triebel-Lizorkin spaces on spaces of homogeneous type and its applications. (English) Zbl 1477.46041
Reviewer: Jie Xiao (St. John’s)
Calderón-Zygmund operators on Lipschitz spaces over RD spaces. (English) Zbl 1475.42027
Reviewer: Javier Soria (Madrid)
Endpoint boundedness of linear commutators on local Hardy spaces over metric measure spaces of homogeneous type. (English) Zbl 1462.42022
Boundedness of Monge-Ampère singular integral operators on Besov spaces. (English) Zbl 1458.42013
Reviewer: Yogesh Sharma (Sardarpura)
Real-variable characterizations of Hardy-Lorentz spaces on spaces of homogeneous type with applications to real interpolation and boundedness of Calderón-Zygmund operators. (English) Zbl 1466.46033
The boundedness of Calderón-Zygmund operators on Lipschitz spaces over spaces of homogeneous type. (English) Zbl 1437.42020
Real-variable characterizations of Musielak-Orlicz Hardy spaces on spaces of homogeneous type. (English) Zbl 1437.42027
Atomic and molecular decomposition of homogeneous spaces of distributions associated to non-negative self-adjoint operators. (English) Zbl 1432.46023
Reviewer: Léonard Todjihounde (Abomey-Calavi)
A complete real-variable theory of Hardy spaces on spaces of homogeneous type. (English) Zbl 1427.42026
Reviewer: Elijah Liflyand (Ramat-Gan)
Atomic and Littlewood-Paley characterizations of anisotropic mixed-norm Hardy spaces and their applications. (English) Zbl 1420.42018
Reviewer: Koichi Saka (Akita)
Littlewood-Paley and finite atomic characterizations of anisotropic variable Hardy-Lorentz spaces and their applications. (English) Zbl 1415.42012
New Calderón reproducing formulae with exponential decay on spaces of homogeneous type. (English) Zbl 1409.42027
Reviewer: Koichi Saka (Akita)
Bilinear decompositions for products of Hardy and Lipschitz spaces on spaces of homogeneous type. (English) Zbl 1416.42032
Reviewer: Koichi Saka (Akita)
Endpoint estimates of linear commutators on Hardy spaces over spaces of homogeneous type. (English) Zbl 1403.42012
\(T1\) theorem for inhomogeneous Triebel-Lizorkin and Besov spaces on RD-spaces and its application. (English) Zbl 1391.42017
Hardy space theory on spaces of homogeneous type via orthonormal wavelet bases. (English) Zbl 1390.42030
Wavelet characterizations of the atomic Hardy space \(H^{1}\) on spaces of homogeneous type. (English) Zbl 1381.42032
Reviewer: Yasuo Komori-Furuya (Kanagawa)
Singular and fractional integral operators on preduals of Campanato spaces with variable growth condition. (English) Zbl 1395.42054
Products of functions in \(H^1_{\rho}(\mathcal {X})\) and \(\mathrm {BMO}_{\rho }(\mathcal {X})\) over RD-spaces and applications to Schrödinger operators. (English) Zbl 1388.42061
Products of functions in \(\mathrm {BMO}({\mathcal X})\) and \(H^1_{\mathrm{at}}({\mathcal X})\) via wavelets over spaces of homogeneous type. (English) Zbl 1426.42018
Besov spaces via wavelets on metric spaces endowed with doubling measure, singular integral, and the \(T1\) type theorem. (English) Zbl 1379.46027
Reviewer: Hans Triebel (Jena)
\(L^p\)-square function estimates on spaces of homogeneous type and on uniformly rectifiable sets. (English) Zbl 1371.28004
Mem. Am. Math. Soc. 1159, vi, 108 p. (2016).
Reviewer: Boris A. Kats (Kazan)
Geometric space-frequency analysis on manifolds. (English) Zbl 1367.42014
Reviewer: Dachun Yang (Beijing)
Endpoint estimates of generalized homogeneous Littlewood-Paley \(g\)-functions over non-homogeneous metric measure spaces. (English) Zbl 1351.42022
Hardy spaces \(H^p\) over non-homogeneous metric measure spaces and their applications. (English) Zbl 1311.42054
Heat kernel based decomposition of spaces of distributions in the framework of Dirichlet spaces. (English) Zbl 1321.58017
Reviewer: Leszek Skrzypczak (Poznań)
On the product of functions in BMO and \(H^1\) over spaces of homogeneous type. (English) Zbl 1334.46024
Square function characterization of weak Hardy spaces. (English) Zbl 1309.42027
Reviewer: Yasuo Komori-Furuya (Kanagawa)
Commutators of Calderón-Zygmund operators related to admissible functions on spaces of homogeneous type and applications to Schrödinger operators. (English) Zbl 1278.42031
Bilinear decompositions and commutators of singular integral operators. (English) Zbl 1272.42010
Reviewer: Sibei Yang (Lanzhou)
Singular integrals on Carleson measure spaces \(\text{CMO}^{p}\) on product spaces of homogeneous type. (English) Zbl 1275.42038
Reviewer: Yasuo Komori-Furuya (Kanagawa)
The grand Lusin-area characterization of Hajłasz-Sobolev spaces and Triebel-Lizorkin spaces. (English) Zbl 1280.42014
Reviewer: Jingshi Xu (Haikou)
Extrapolation of discrete Triebel-Lizorkin spaces. (English) Zbl 1270.42025
Reviewer: Koichi Saka (Akita)
Multiparameter Hardy space theory on Carnot-Carathéodory spaces and product spaces of homogeneous type. (English) Zbl 1275.42035
Reviewer: Kôzô Yabuta (Nishinomiya)
Applications of Orlicz-Hardy spaces associated with operators satisfying Poisson estimates. (English) Zbl 1245.42019
Reviewer: Yasuo Komori (Numazu)
Hardy spaces on \(\mathbb R^{n}\) with pointwise variable anisotropy. (English) Zbl 1236.42014
Reviewer: Alexander Tovstolis (Stillwater)
Real-variable characterizations of Hardy spaces associated with Bessel operators. (English) Zbl 1227.42021
Reviewer: Krzysztof Stempak (Wrocław)
Maximal function characterizations of Hardy spaces associated with Schrödinger operators on nilpotent Lie groups. (English) Zbl 1216.43001
Reviewer: Huoxiong Wu (Xiamen Fujian)
Localized Hardy spaces \(H^1\) related to admissible functions on RD-spaces and applications to Schrödinger operators. (English) Zbl 1217.42044
Reviewer: Liu Yu (Beijing)
New properties of Besov and Triebel-Lizorkin spaces on RD-spaces. (English) Zbl 1215.46026
Reviewer: Hans Triebel (Jena)
Boundedness of paraproduct operators on RD-spaces. (English) Zbl 1217.42031
Reviewer: Ming Xu (Guangzhou)
Approximation by the Bernstein-Durrmeyer operator on a simplex. (English) Zbl 1197.33011
Reviewer: Ridha Sfaxi (Gabès)
Estimates for Lusin-area and Littlewood-Paley \(g_\lambda^*\) functions over spaces of homogeneous type. (English) Zbl 1183.42019
Reviewer: Vitaly Vladimirovich Volchkov (Donetsk)
Radial maximal function characterizations of Hardy spaces on RD-spaces and their applications. (English) Zbl 1186.42012
Reviewer: Kôzô Yabuta (Nishinomiya)
Products of functions in BMO and \(\mathcal H^1\) spaces on spaces of homogeneous type. (English) Zbl 1184.42018
Reviewer: Xuan Thinh Duong (Sydney)
Radial maximal function characterizations for Hardy spaces on RD-spaces. (English) Zbl 1205.42016
Reviewer: Lizhong Peng (Beijing)
A difference characterization of Besov and Triebel-Lizorkin spaces on RD-spaces. (English) Zbl 1171.42013
Reviewer: Leszek Skrzypczak (Poznań)
Maximal function characterizations of Hardy spaces on RD-spaces and their applications. (English) Zbl 1176.42017
A theory of Besov and Triebel-Lizorkin spaces on metric measure spaces modeled on Carnot-Carathéodory spaces. (English) Zbl 1193.46018
Boundedness of sublinear operators in Hardy spaces on RD-spaces via atoms. (English) Zbl 1198.42017
Reviewer: Stefan G. Samko (Faro)
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