Lebesgue spaces
On bases from cosines in Lebesgue spaces with variable summability index
... In connection with applications in mechanics and theoretical physics in recent years there is a great interest in studying different problems in Lebesgue spaces with variable summability index. For many ...
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Bilinear multipliers of weighted Lebesgue spaces and variable exponent Lebesgue spaces
... complex-valued functions with compact support on R n and the space of infinitely differ- entiable complex-valued functions on R n rapidly decreasing at infinity, respectively. For ≤ p ≤ ∞, L p (R n ) denotes the usual ...
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On Boundedness of Weighted Hardy Operator in and Regularity Condition
... in Lebesgue spaces with variable exponent, as well as the investigation of problems of regularity of nonlinear equations with nonstandard growth condition have become of late the arena of an intensive ...
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Potential Operators in Variable Exponent Lebesgue Spaces: Two Weight Estimates
... exponent Lebesgue spaces defined on quasimetric measure spaces X, d, μ are ...of Lebesgue spaces are constants, then most of the derived conditions are simultaneously necessary and su ffi ...
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Kernel operators with variable intervals of integration in Lebesgue spaces and applications
... restricted to a non-linear class of absolutely continuous function deÞned by the bor- der functions a(x) and b(x), which in turn is closely related to the embedding of the weighted Sobolev space to the weighted ...
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Multilinear fractional integral operators on non homogeneous metric measure spaces
... on Lebesgue spaces or Hardy spaces for multilinear singular integrals was proved by Gorafakos-Torres [, ...measure spaces, Xu [, ] and Lian-Wu [] obtained the bounded- ness of ...
17
Some notes on commutators of the fractional maximal function on variable Lebesgue spaces
... Recently, Zhang [26] studied the commutator [b, M] when b belongs to Lipschitz spaces. Some necessary and sufficient conditions for the boundedness of [b, M] on Lebesgue and Morrey spaces are given. ...
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Criteria of Two weighted Inequalities for Multidimensional Hardy Type Operator in Weighted Musielak Orlicz Spaces and Some Application
... classical Lebesgue spaces (see, ...weighted Lebesgue spaces into weighted Musielak-Orlicz ...weighted Lebesgue spaces into weighted Musielak-Orlicz ...
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Some new iterated Hardy type inequalities: the case θ=1
... where 0 < p < ∞ , 0 < q ≤ + ∞ , u, w and v are weight functions on (0, ∞ ). It is pointed out that this characterization can be used to obtain new characterizations for the boundedness between weighted ...
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Application of Interpolation Inequalities to the Study of Operators with Linear Fractional Endpoint Singularities in Weighted Hölder Spaces
... In this paper we consider operators with endpoint singularities generated by linear fractional Carleman shift in weighted Hölder spaces. Such operators play an important role in the study of algebras generated by ...
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A Bernstein type inequality associated with wavelet bi frame decomposition
... Bernstein inequality is an essential inequality for Besov spaces. Smoothness based approaches are widely used in establishing the inequality. Yet, despite numerous studies over the last two decades, there is still ...
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Weighted Estimates of a Measure of Noncompactness for Maximal and Potential Operators
... A measure of noncompactness essential norm for maximal functions and potential operators defined on homogeneous groups is estimated in terms of weights. Similar problem for partial sums of the Fourier series is studied. ...
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Pre wavelet bases in Lebesgue spaces
... sen have proven that the frame operator of a wavelet frame (not necessarily a wavelet basis) is bijective on Lebesgue spaces if some assumptions are provided []. Mainly ψ and ψ need to have sufficient decay ...
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Weak lower semicontinuity of variational functionals with variable growth
... exponent Lebesgue spaces and variable exponent Sobolev spaces, the field of variable exponent function spaces has witnessed an explosive growth in recent years and now there have been a large ...
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Multilinear Fourier multipliers on variable Lebesgue spaces
... multilinear multipliers by considering the end-point cases, using weighted Carleson mea- sure theory and employing multilinear interpolation theory. In [], Chen and Lu proved a Hörmander type multilinear theorem on ...
15
Proximinality in Banach space valued Musielak Orlicz spaces
... Musielak-Orlicz spaces include many spaces as special spaces, such as Lebesgue spaces, weighted Lebesgue spaces, variable Lebesgue spaces and Orlicz ...
9
Boundedness of Parametrized Littlewood Paley Operators with Nondoubling Measures
... nondoubling measures in 22, where the boundedness of such operator in Lebesgue spaces and Hardy spaces was established under the assumption that M ρ is bounded on L 2 μ. Throughout this paper, we ...
25
Lebesgue functions and Lebesgue constants in polynomial interpolation
... The literature describes numerous investigations for the behavior of the Lebesgue function corresponding to the set of Chebyshev nodes. They are a very good choice of points for polynomial interpolation, and as it ...
15
A complete characterisation of local existence for semilinear heat equations in Lebesgue spaces
... Local well-posedness of (1) for smooth data falls within the scope of the standard theory of parabolic equations that goes back half a century [13]. In the early 1980s the well-posedness theory was extended by Weissler ...
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A note on rough singular integrals in Triebel Lizorkin spaces and Besov spaces
... Triebel-Lizorkin spaces and Besov spaces is established, provided the kernels satisfy rather weak size conditions both on the unit sphere and in the radial ...
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