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Journal of Functional Analysis, ISSN 0022-1236, 2009, Volume 256, Issue 6, pp. 1731 - 1768
In this article we introduce Triebel–Lizorkin spaces with variable smoothness and integrability. Our new scale covers spaces with variable exponent as well as... 
Molecule | Trace spaces | Decomposition | Variable indices | Variable exponent | Non-standard growth | Atom | Triebel–Lizorkin spaces | Triebel-Lizorkin spaces | BESSEL POTENTIAL SPACES | MAXIMAL-FUNCTION | ELECTRORHEOLOGICAL FLUIDS | MATHEMATICS | SOBOLEV SPACES | WEIGHTED BESOV-SPACES | GENERALIZED LEBESGUE SPACES | EXPONENT | DIFFERENTIATION | L-P SPACES
Journal Article
Journal of Functional Analysis, ISSN 0022-1236, 2011, Volume 260, Issue 11, pp. 3299 - 3362
Journal Article
IEEE Transactions on Medical Imaging, ISSN 0278-0062, 06/2008, Volume 27, Issue 6, pp. 858 - 865
Journal Article
Mathematische Nachrichten, ISSN 0025-584X, 04/2013, Volume 286, Issue 5‐6, pp. 436 - 475
Journal Article
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 03/2017, Volume 447, Issue 1, pp. 529 - 541
The aim of this paper is to find weights W in the unit ball of Cn for which characterization of the area integrals of Bergman spaces Ap(W) holds. The area... 
Area functions | Weighted Bergman spaces | MATHEMATICS | MATHEMATICS, APPLIED
Journal Article
Integral Equations and Operator Theory, ISSN 0378-620X, 04/2017, Volume 87, Issue 4, pp. 581 - 600
We determine the boundedness and compactness of a large class of operators, mapping from general Banach spaces of holomorphic functions into a particular type... 
Banach spaces of holomorphic functions | Compactness | Growth spaces | Boundedness | Point evaluations | MATHEMATICS | WEIGHTED COMPOSITION OPERATORS | BANACH-SPACES | COMPACT COMPOSITION OPERATORS | ANALYTIC-FUNCTIONS | Mathematics - Functional Analysis
Journal Article
Journal of Functional Analysis, ISSN 0022-1236, 06/2017, Volume 272, Issue 11, pp. 4460 - 4482
A number of Calderón–Mityagin couples and relative Calderón–Mityagin pairs are identified among Banach function spaces defined in terms of the least decreasing... 
Calderón couple | Level function | Calderón–Mityagin couple | Least decreasing majorant | Secondary | Calderón-Mityagin couple | Primary | MATHEMATICS | THEOREM | Calderon couple | Calderon-Mityagin couple | WEIGHTED HARDY | Computer science
Journal Article
Numerical Algorithms, ISSN 1017-1398, 02/2019, Volume 80, Issue 2, pp. 661 - 685
The paper considers linear problems on weighted spaces of multivariate functions of many variables. The main questions addressed are the following: when is it... 
Multivariate problems | Truncation algorithms | Weighted function spaces | Truncation dimension | MATHEMATICS, APPLIED | Computer science | Analysis | Algorithms
Journal Article
Journal of the Australian Mathematical Society, ISSN 1446-7887, 10/2018, Volume 105, Issue 2, pp. 201 - 228
Let L = -Delta + V be a Schrodinger operator on R-n, n >= 3, where V is a potential satisfying an appropriate reverse Holder inequality. In this paper, we... 
weighted Lipschitz space | Riesz transform | weighted BMO space | square function | Schrödinger operator | INTEGRALS | MATHEMATICS | REVERSE HOLDER INEQUALITY | RD-SPACES | BMO | Schrodinger operator | COMMUTATORS | POTENTIALS
Journal Article
Journal of Inequalities and Applications, ISSN 1029-242X, 12/2019, Volume 2019, Issue 1, pp. 1 - 21
Let T∗ $T^{*}$ be a multilinear Calderón–Zygmund maximal operator. In this paper, we study iterated commutators of T∗ $T^{*}$ and pointwise multiplication with... 
Maximal multilinear operators | 42B25 | 47G10 | Analysis | Calderón–Zygmund operator | Mathematics, general | Mathematics | Applications of Mathematics | Commutators | MATHEMATICS | MATHEMATICS, APPLIED | Calderon-Zygmund operator | WEIGHTED NORM INEQUALITIES | SINGULAR-INTEGRALS | KERNELS | Operators (mathematics) | Multiplication | Function space
Journal Article
Topology and its Applications, ISSN 0166-8641, 08/2017, Volume 226, pp. 66 - 85
We study surjective isometries between subspaces of continuous functions containing all constant functions and separating the points of the underlying spaces.... 
Isometry | Weighted composition operator | Semi-free circle action | Real-linearity | MATHEMATICS | MATHEMATICS, APPLIED | ALGEBRAS | SUBSPACES
Journal Article
BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, ISSN 1370-1444, 12/2018, Volume 25, Issue 5, pp. 729 - 740
Let X, Upsilon be compact Hausdorff spaces and A, B be either closed subspaces of C (X) and C (Upsilon), respectively, containing constants or positive cones... 
MATHEMATICS | subspaces of continuous functions | ALGEBRAS | weighted composition operators | uniform algebras | Choquet boundaries | SURJECTIONS | nonsymmetric norm preserving maps
Journal Article
Journal of Functional Analysis, ISSN 0022-1236, 10/2016, Volume 271, Issue 7, pp. 1793 - 1843
Journal Article
Mathematische Nachrichten, ISSN 0025-584X, 04/2019, Volume 292, Issue 4, pp. 777 - 792
For a general dyadic grid, we give a Calderón–Zygmund type decomposition, which is the principle fact about the multilinear maximal function M on the upper... 
42B35 | Hytönen–Pérez type estimate | multilinear maximal function | weighted inequality | Primary: 42B25; Secondary: 42B20 | upper half‐space | reverse Hölder's condition | upper half-space | reverse Holder's condition | Secondary | NORM INEQUALITIES | CARLESON MEASURES | Hytonen-Perez type estimate | INTEGRALS | MATHEMATICS | UNIFIED APPROACH | OPERATOR | BOUNDS | Primary
Journal Article
Journal of Inequalities and Applications, ISSN 1029-242X, 12/2019, Volume 2019, Issue 1, pp. 1 - 9
In this paper, we consider a common fixed point result in the context of a very recently defined abstract space: “function weighted metric space”. We present... 
54E50 | 47H10 | 54A20 | Analysis | Function weighted metric space | Topological properties | Banach contraction principle | Mathematics, general | Mathematics | Applications of Mathematics | MATHEMATICS | MATHEMATICS, APPLIED | Metric space | Fixed points (mathematics)
Journal Article
Mediterranean Journal of Mathematics, ISSN 1660-5446, 12/2016, Volume 13, Issue 6, pp. 4745 - 4761
We prove a Banach–Stone type theorem for surjective linear isometries of quaternion-valued continuous function spaces. 
quaternion-valued functions | 46E15 | Isometry | 46S10 | weighted composition operator | Mathematics, general | Mathematics | 57M10 | MATHEMATICS | MATHEMATICS, APPLIED | REPRESENTATION | SUBSPACES | LINEAR ISOMETRIES
Journal Article
中国科学:数学英文版, ISSN 1674-7283, 2017, Volume 60, Issue 11, pp. 1981 - 2010
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 03/2019, Volume 471, Issue 1-2, pp. 211 - 238
Journal Article
International journal of molecular sciences, ISSN 1661-6596, 10/2018, Volume 19, Issue 10, p. 3177
To understand functions of biomolecules such as proteins, not only structures but their conformational change and kinetics need to be characterized, but its... 
weighted ensemble | rare event | Onsager–Machlup action | multidrug transporter | molecular dynamics simulation | multiscale enhanced sampling | string method
Journal Article
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