Results 11 to 20 of about 2,233 (221)
Interpolation of weighted Sobolev spaces [PDF]
Journal of Functional Analysis, 2019 In this work we present a newly developed study of the interpolation of weighted Sobolev spaces by the complex method. We show that in some cases, one can obtain an analogue of the famous Stein-Weiss theorem for weighted $L^{p}$ spaces. We consider an example which gives some indication that this may not be possible in all cases.
Amit Einav
exaly +5 more sources
Multipliers in weighted Sobolev spaces on the axis [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2022 This work establishes necessary and sufficient conditions for the boundedness of one variable differential operator acting from a weighted Sobolev space Wlp,v to a weighted Lebesgue space on the positive real half line.
A. Myrzagaliyeva
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Weighted Sobolev spaces on metric measure spaces [PDF]
Journal für die reine und angewandte Mathematik (Crelles Journal), 2016 Abstract We investigate weighted Sobolev spaces on metric measure spaces ( X , d ...
Ambrosio, Luigi +2 more
core +8 more sources
Weighted Sobolev Spaces on Curves [PDF]
Journal of Approximation Theory, 2002 45 pages, no figures.-- MSC1987 codes: 41A10, 46E35, 46G10. MR#: MR1934626 (2003j:46038) Zbl#: Zbl 1019.46026 In this paper we present a definition of weighted Sobolev spaces on curves and find general conditions under which the spaces are complete for non-closed compact curves. We also prove the density of the polynomials in these spaces and, finally,
Venancio Alvarez +3 more
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Weighted Variable Sobolev Spaces and Capacity [PDF]
Journal of Function Spaces and Applications, 2012 We define weighted variable Sobolev capacity and discuss properties of capacity in the space 𝑊1,𝑝(⋅)(ℝ𝑛,𝑤). We investigate the role of capacity in the pointwise definition of functions in this space if the Hardy-Littlewood maximal operator is bounded on ...
Ismail Aydin
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Generalized Weighted Sobolev Spaces and Applications to Sobolev Orthogonal Polynomials I [PDF]
Acta Applicandae Mathematica, 2002 36 pages, no figures.-- MSC2000 codes: 41A10, 46E35, 46G10.-- Part II of this paper published in: Approx. Theory Appl. 18(2): 1-32 (2002), available at: http://e-archivo.uc3m.es/handle/10016/6483 MR#: MR2047389 (2005k:42062) Zbl#: Zbl 1081.42024 In this paper we present a definition of Sobolev spaces with respect to general measures, prove some useful ...
Rodríguez, José M. +3 more
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Weighted Sobolev spaces: Markov-type inequalities and duality [PDF]
Bulletin of Mathematical Sciences, 2017 Weighted Sobolev spaces play a main role in the study of Sobolev orthogonal polynomials. The aim of this paper is to prove several important properties of weighted Sobolev spaces: separability, reflexivity, uniform convexity, duality and Markov-type ...
Francisco Marcellán +2 more
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A new approach to weighted Sobolev spaces. [PDF]
Mon Hefte MathAbstract We present in this paper a new way to define weighted Sobolev spaces when the weight functions are arbitrary small. This new approach can replace the old one consisting in modifying the domain by removing the set of points where at least one of the weight functions is very small.
Kebiche D.
europepmc +7 more sources
On the trace space of a Sobolev space with a radial weight [PDF]
Journal of Function Spaces and Applications, 2008 Our concern in this paper lies with trace spaces for weighted Sobolev spaces, when the weight is a power of the distance to a point at the boundary. For a large range of powers we give a full description of the trace space.
Helmut Abels +2 more
doaj +3 more sources
Traces of multipliers in pairs of weighted Sobolev spaces [PDF]
Journal of Function Spaces and Applications, 2005 We prove that the pointwise multipliers acting in a pair of fractional Sobolev spaces form the space of boundary traces of multipliers in a pair of weighted Sobolev space of functions in a domain.
Vladimir Maz'ya, Tatyana Shaposhnikova
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