Optimal embeddings potentials type Bessel and Riesz on the base of Lorentz spaces
نویسندگان
چکیده
منابع مشابه
Generalized Bessel and Riesz Potentials on Metric Measure Spaces
There is a rich literature on the study of Bessel and Riesz potentials on the Euclidean space R, see for example the books [23, 20, 1, 16] and the references therein. However, little is known on how to extend the Bessel and Riesz potentials to metric measure spaces in a reasonable way. This issue is interesting in that it is closely related with the study of various current topics, such as the ...
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Let p 2 (0; 1), let v be a weight on (0; 1) and let p (v) be the classical Lorentz space, determined by the norm kfk p (v) := (R 1 0 (f (t)) p v(t) dt) 1=p. When p 2 (1; 1), this space is known to be a Banach space if and only if v is non-increasing, while it is only equivalent to a Banach space if and only if p (v) = ? p (v), where kfk ? p (v) := (R 1 0 (f (t)) p v(t) dt) 1=p. We may thus conc...
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چکیده ندارد.
A Riesz decomposition theorem on harmonic spaces without positive potentials
In this paper, we give a new definition of the flux of a superharmonic function defined outside a compact set in a Brelot space without positive potentials. We also give a new notion of potential in a BS space (that is, a harmonic space without positive potentials containing the constants) which leads to a Riesz decomposition theorem for the class of superharmonic functions that have a harmonic...
متن کاملBessel, Frame and Riesz Multipliers
Abstract. This paper introduces the concept of Bessel and frame multipliers. These operators are defined by a fixed pattern, called the symbol, which is used after analysis, before synthesis. This concept is a generalization of Gabor multipliers. It allows specialization to any analysis/synthesis systems, that form Bessel sequences, like e.g. wavelet frames. Basic properties of this general cla...
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ژورنال
عنوان ژورنال: BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS
سال: 2017
ISSN: 2518-7929,2518-7929
DOI: 10.31489/2017m4/15-25