[PDF] Top 20 Convolution type operators with symmetry in Bessel potential spaces
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Convolution type operators with symmetry in Bessel potential spaces
... presented in the following sections 2–5 (together with further ...interest in applications. It often appears in the most important weak formulations of basic boundary value problems (looking ... See full document
30
Inversion of the Bessel potential operator in weighted variable Lebesgue spaces
... Lebesgue spaces with variable exponent L p( ·) (Ω) have been intensively studied during the last ...equations with non- standard growth conditions and by modeling problems of fluid mechanics (see, ... See full document
11
Weighted Sobolev theorem with variable exponent for spatial and spherical potential operators, II
... theorem with variable exponent for spatial and spher- ical potential operators, ...Riesz potential operator I α in the weighted Lebesgue generalized spaces L p( ·) ( R n , ρ) ... See full document
7
Weighted Sobolev theorem with variable exponent for spatial and spherical potential operators
... theory in the generalized Lebesgue spaces with variable exponent p(x) could be observed in a variety of papers, the main objects be- ing the maximal operator, Hardy operators, singular ... See full document
18
Obstacle type problems in Orlicz-Sobolev spaces
... general potential operators by Monneau [ 86 ], in a special case corresponding to an obstacle problem arising in superconductor modeling with convex energy, and by three of the authors ... See full document
183
Lebedev's type index transforms with the modified Bessel functions.
... Lebedev type are ...modified Bessel functions as the ...these operators in the Lebesgue weighted ...associated with the generalized Lebedev index transform, involving the square of the ... See full document
12
Operators of harmonic analysis in weighted spaces with non-standard growth
... made in the study of maximal and singular operators and potential type operators in the generalized Lebesgue spaces L p( ·) with variable exponent, known also as ... See full document
20
Characterization of the variable exponent Bessel potential spaces via the Poisson semigroup
... Lebesgue spaces L p ( ·) ( R n ) being the core of VEA. The progress in VEA was inspired both by difficult open problems in this theory, and possible applications shown in ...exponent ... See full document
15
Weighted Hardy and potential operators in the generalized Morrey spaces
... such operators in the generalized Morrey spaces L p , ϕ obtained from Morrey spaces when we replace r λ by a function ϕ ( r ) ..., with possible decay or growth at r = 0 and r = ∞ , ... See full document
15
On maximal and potential operators with rough kernels in variable exponent spaces
... main operators of harmonic analysis, maximal, singular and of potential type, with the so called rough kernel have been widely studied, see ...of operators with rough kernels was ... See full document
18
Maximal, potential and singular operators in the local "complementary" variable exponent Morrey type spaces
... monotonicity type condition is imposed onto the function ω( r ) defining the ‘‘complementary’’ Morrey-type ...norm. In the case where ω is a power function, we reveal the relation of these ... See full document
13
On Quadratic Integral Equations of Urysohn Type in Fréchet Spaces
... applications in describing numer- ous real world problems, see, for instance, books by Agarwal et ...applications in describing numerous events and problems of the real ...applicable in the theory of ... See full document
6
Fixed Points of Non-expansive Operators on Weakly Cauchy Normed Spaces
... non-expansive operators defined on weakly Cauchy spaces in which parallelogram law holds, the given normed space is not necessarily be uniformly convex Banach space or Hilbert space, we reduced the ... See full document
4
Compactness in quasi-Banach function spaces and applications to compact embeddings of Besov-type spaces
... Finally, by W(Ω) (or by W(a, b)) we mean the class of weight functions on Ω (resp. on (a, b)), consisting of all measurable functions which are positive a.e. on Ω (resp. on (a, b)). A subscript 0 is added to the previous ... See full document
24
Commuting symmetry operators of the Dirac equation, Killing-Yano and Schouten-Nijenhuis brackets
... IV we extend the definition of Killing-Yano brackets to arbitrary KY forms, define graded Killing-Yano brackets of KY forms by studying other first-order symmetry operators of the Dirac [r] ... See full document
20
Index transforms with the squares of Bessel functions
... A BSTRACT . New index transforms, involving the square of Bessel functions of the first kind as the kernel are considered. Mapping properties such as the boundedness and invertibility are investigated for these ... See full document
11
On the Stability of Volterra Difference Equations of Convolution Type
... In this section, we provide some results concerning the stability/instability for the null solution of (1.1) when R = 1 and R < 1. It is worth pointing out that the arguments to be used are still valid ... See full document
13
Modeling ophthalmic surfaces using Zernike, Bessel and Chebyshev type functions
... used in many applications due to its ability for approximate general classes of functions (see ...polynomials in modelling ophthalmic ...representation with respect to those of Zernike and ... See full document
7
A note on mutiplication operators on Köthe-Bochner spaces
... Abstract. Let (Ω, A, µ) is a finite measure space, E an order continuous Ba- nach function space over µ, X a Banach space and E(X) the K¨ othe-Bochner space. A new simple proof is given of the result that a continuous ... See full document
2
Hardy type inequalityin variable lebesgue spaces
... of spaces of Riesz or Bessel potentials in the case of constant p may be found in [21, 22, 36], see also [28] for the pointwise multipliers in the case of more general ...also, ... See full document
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