Weighted Lebesgue Spaces
On function spaces with fractional Fourier transform in weighted Lebesgue spaces
... On function spaces with fractional Fourier transform in weighted Lebesgue spaces Erdem Toksoy and Ayşe Sandıkçı* Dedicated to Professor Ravi P Agarwal.. Correspondence: ayses@omu.edu.tr[r] ...
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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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Convergence of Singular Integral Operators in Weighted Lebesgue Spaces
... Bardaro, Karsli and Vinti [5] obtained some approximation results related to the point- wise convergence and the rate of pointwise convergence for non-convolution type linear op- erators at a Lebesgue point based ...
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Norm inequalities for the conjugate operator in two weighted Lebesgue spaces
... Littlewood maximal operator and the Hilbert transform. In this article, we prove the converse of the main theorem of [5] by adding a doubling condition for a weight func- tion. And then by adding a suitable regularity ...
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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 ...
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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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Application of Interpolation Inequalities to the Study of Operators with Linear Fractional Endpoint Singularities in Weighted Hölder Spaces
... These results can be used in the study of operators in weighted Hölder spaces, on the basis of known results for operators in weighted Lebesgue spaces. In particular, operators with ...
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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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Fourier Inequalities in Lorentz and Lebesgue Spaces
... Norm inequalities for the Fourier transform on R n are studied in Chapter 3. Based on Sinnamon’s work, we obtain several conditions that are sufficient or necessary for conti- nuity of the Fourier transform as a map ...
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Multilinear Fourier multipliers on variable Lebesgue spaces
... using weighted Carleson mea- sure theory and employing multilinear interpolation ...on weighted Lebesgue spaces when the Fourier multipliers were only assumed with limited ...
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Criteria of Two weighted Inequalities for Multidimensional Hardy Type Operator in Weighted Musielak Orlicz Spaces and Some Application
... from weighted Lebesgue spaces into weighted Musielak-Orlicz spaces is ...the weighted Musielak-Orlicz ...usual weighted Lebesgue spaces into weighted ...
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Weighted composition operators on weighted Bergman spaces and weighted Bloch spaces
... vestigate weighted composition operators on weighted Bergman spaces and weighted Bloch ...the weighted composition operators from (weighted) Bergman spaces to ...
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Modular uniform convexity of Lebesgue spaces of variable integrability.
... these spaces were brought into the center stage of mathematical research as they were realized to be the natural solution space for partial differential equations with non-standard ...exponent spaces was ...
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Riemann boundary value problem with degenerate coefficients and bases from the double system of exponents in a generalized Lebesgue spaces
... Abstract: In this paper a double system of exponents with degenerate coefficients is considered. Basicity of this system is studied in a generalized Lebesgue space L p . Method of boundary value problems of ...
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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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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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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 ...
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ON A ROBIN PROBLEM IN ORLICZ-SOBOLEV SPACES
... Orlicz-Sobolev spaces is an interesting topic of research due to its significant role in many fields of mathematics, such as approximation theory, partial differential equations, calculus of variations, non- ...
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Bases of exponents with a piecewise linear phase in generalized weighted Lebesgue space
... The perturbed system of exponents with a piecewise linear phase, consisting of eigenfunctions of a discontinuous differential operator, is considered in this work. Under certain conditions on the weight function of the ...
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Iterative method for convex optimization problems in real Lebesgue spaces
... In recent times, this type of functional has been studied extensively by many authors including Alber [1], Alber and Guerre-Delabriere [2], Kamimura and Takahashi [10], Reich [13]. It has proved to be a very useful tool ...
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