Results 71 to 80 of about 27,424 (219)

Boundedness of One-Sided Oscillatory Integral Operators on Weighted Lebesgue Spaces

Abstract and Applied Analysis, 2014
We consider one-sided weight classes of Muckenhoupt type, but larger than the classical Muckenhoupt classes, and study the boundedness of one-sided oscillatory integral operators on weighted Lebesgue spaces using interpolation of operators with change of
Zunwei Fu, Shanzhen Lu, Yibiao Pan, Shaoguang Shi   +3 more
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Matrix-weighted bounds in variable Lebesgue spaces

Annales Fennici Mathematici
In this paper we prove boundedness of Calderón–Zygmund operators and the Christ–Goldberg maximal operator in the matrix-weighted variable Lebesgue spaces recently introduced by Cruz-Uribe and the second author. Our main tool to prove these bounds is through bounding a Goldberg auxiliary maximal operator.
Nieraeth, Zoe, Penrod, Michael
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Embeddings of Weighted Generalized Morrey Spaces Into Lebesgue Spaces on Fractal Sets [PDF]

Fractional Calculus and Applied Analysis, 2019
In the paper under review, embeddings of weighted local generalized Morrey spaces \(L^{p,\varphi}_{{x_0}}(X,w)\), \(1 \le p \le \infty\), into Lebesgue spaces \(L^s(X,\mu)\), \(1 \le s\le p\), are studied. This is done in a context of quasi-metric measure space \((X,d,\mu)\) with some mild assumptions (for instance, the Ahlfors conditions) imposed on \(
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New equivalent conditions for Hardy-type inequalities [PDF]

Mathematica Bohemica
We consider a Hardy-type inequality with Oinarov's kernel in weighted Lebesgue spaces. We give new equivalent conditions for satisfying the inequality, and provide lower and upper estimates for its best constant.
Alois Kufner, Komil Kuliev, Gulchehra Kulieva, Mohlaroyim Eshimova   +3 more
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Multiplication operator on weighted Lebesgue sequence spaces

Gulf Journal of Mathematics
In this paper, we study the multiplication operator acting on the Lebesgue sequence space lp, w, for 1 ≤ p ≤ ∞, which generalizes the classical lp spaces by incorporating a weight sequence wn. We focus on properties such as continuity, inverse continuity, finite range, compactness, and essential norm of the operator.
René Erlín Castillo, Héctor Chaparro, Oscar Alejandro Chaparro   +2 more
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Rearrangement-invariant hulls of weighted Lebesgue spaces

Journal of Functional Analysis
We characterize the rearrangement-invariant hull, with respect to a given measure $μ$, of weighted Lebesgue spaces. The solution leads us to first consider when this space is contained in the sum of $(L^1 + L^\infty)(R, μ)$ and the final condition is given in terms of embeddings for weighted Lorentz spaces.
Martin Křepela, Zdeněk Mihula, Javier Soria   +2 more
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Semi-Fredholm singular integral operators with piecewise continuous coefficients on weighted variable Lebesgue spaces are Fredholm [PDF]

, 2007
Alexei Yu. Karlovich
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Potential Operators in Variable Exponent Lebesgue Spaces: Two-Weight Estimates

Journal of Inequalities and Applications, 2010
Two-weighted norm estimates with general weights for Hardy-type transforms and potentials in variable exponent Lebesgue spaces defined on quasimetric measure spaces are established.
Sarwar Muhammad, Kokilashvili Vakhtang, Meskhi Alexander   +2 more
doaj  

Variable Lebesgue Space over Weighted Homogeneous Tree

Symmetry
An infinite homogeneous tree is a special type of graph that has a completely symmetrical structure in all directions. For an infinite homogeneous tree T=(V,E) with the natural distance d defined on graphs and a weighted measure μ of exponential growth, the authors introduce the variable Lebesgue space Lp(·)(μ) over (V,d,μ) and investigate it under the
Yuxun Zhang, Jiang Zhou
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Kernel operators and their boundedness from weighted Sobolev space to weighted Lebesgue space

TURKISH JOURNAL OF MATHEMATICS, 2019
Summary: In this paper, for a wide class of integral operators, we consider the problem of their boundedness from a weighted Sobolev space to a weighted Lebesgue space. The crucial step in the proof of the main result is to use the equivalence of the basic inequality and certain Hardy-type inequality, so we first state and prove this equivalence.
Aigerim KALYBAY, Ryskul OINAROV
openaire   +1 more source