Weighted Sobolev inequality in grand mixed norm Lebesgue spaces
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DOI: 10.1007/s11117-020-00764-8
Abstract: We derive necessary and sufficient conditions on weights guaranteeing the one-weight Sobolev-type inequality for strong fractional maximal and multiple fractional integral operators in grand mixed norm Lebesgue spaces. As a consequence, appropriate statements for fractional… read more here.
Keywords: mixed norm; lebesgue spaces; grand mixed; norm lebesgue ... See more keywords
A note on the continuity of minors in grand Lebesgue spaces
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DOI: 10.1007/s11784-019-0686-y
Abstract: We present a simple proof of the continuity, in the sense distributions, of the minors of the differential matrices of mappings belonging to grand Sobolev spaces. Such function spaces were introduced in connection with a… read more here.
Keywords: continuity; continuity minors; note continuity; minors grand ... See more keywords
A Bohr-Nikol’skii Inequality for Weighted Lebesgue Spaces
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DOI: 10.1007/s40306-018-00322-1
Abstract: In this paper, we give a new inequality for weighted Lebesgue spaces called Bohr-Nikol’skii inequality, which combines the inequality of Bohr-Favard and the Nikol’skii idea of inequality for functions in different metrics. read more here.
Keywords: inequality; weighted lebesgue; inequality weighted; nikol skii ... See more keywords
Nonuniform sampling in principal shift-invariant subspaces of mixed Lebesgue spaces Lp,q(Rd+1)
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DOI: 10.1016/j.jmaa.2017.04.036
Abstract: Abstract In this paper, we study the nonuniform sampling and reconstruction problem in shift-invariant subspaces of mixed Lebesgue spaces. We first show that shift-invariant subspaces in mixed Lebesgue spaces L p , q ( R… read more here.
Keywords: subspaces mixed; mixed lebesgue; lebesgue spaces; shift invariant ... See more keywords
M-stationarity for a class of MPCCs in Lebesgue spaces
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DOI: 10.1016/j.jmaa.2022.126167
Abstract: We show that an optimality condition of M-stationarity type holds for minimizers of a class of mathematical programs with complementarity constraints (MPCCs) in Lebesgue spaces. We apply these results also to local minimizers of an… read more here.
Keywords: stationarity; stationarity class; class mpccs; lebesgue spaces ... See more keywords
Potential operators and their commutators acting between variable Lebesgue spaces with different weights
Sign Up to like & getrecommendations! Published in 2018 at "Integral Transforms and Special Functions"
DOI: 10.1080/10652469.2018.1519807
Abstract: ABSTRACT We prove that a generalized Fefferman–Phong type conditions on a pair of weights u and v is sufficient for the boundedness of the potential type operator from into . We also obtain an analogous… read more here.
Keywords: potential operators; operators commutators; lebesgue spaces; commutators acting ... See more keywords
Extrapolation in Grand Lebesgue Spaces with A∞ Weights
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DOI: 10.1134/s0001434618090195
Abstract: Results on extrapolation withA∞ weights in grand Lebesgue spaces are obtained. Generally, these spaces are defined with respect to the productmeasure μ1 ×· · ·×μn onX1 ×· · ·×Xn, where (Xi, di, μi), i =… read more here.
Keywords: extrapolation grand; lebesgue spaces; spaces weights; grand lebesgue ... See more keywords
Some notes on commutators of the fractional maximal function on variable Lebesgue spaces
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DOI: 10.1186/s13660-019-1960-7
Abstract: Let 0 read more here.
Keywords: lebesgue spaces; fractional maximal; maximal function; variable lebesgue ... See more keywords
Modular Uniform Convexity of Lebesgue Spaces of Variable Integrability
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DOI: 10.20944/preprints201811.0325.v1
Abstract: We analyze the modular geometry of the variable exponent Lebesgue space Lp(.). We show that Lp(.) possesses a modular uniform convexity property. Part of the novelty is that the property holds even in the case… read more here.
Keywords: uniform convexity; lebesgue spaces; convexity lebesgue; modular uniform ... See more keywords
Hardy-Littlewood maximal operator on variable Lebesgue spaces with respect to a probability measure
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DOI: 10.2989/16073606.2021.1882603
Abstract: Abstract In this paper we are going to prove that the Hardy-Litllewood maximal operators on variable Lebesgue spaces L p(·)(µ) with respect to a probability Borel measure µ, are weak type and strong type for… read more here.
Keywords: respect probability; spaces respect; variable lebesgue; lebesgue spaces ... See more keywords
Approximation by integral functions of finite degree in variable exponent Lebesgue spaces on the real axis
Sign Up to like & getrecommendations! Published in 2018 at "Turkish Journal of Mathematics"
DOI: 10.3906/mat-1605-26
Abstract: We obtain several inequalities of approximation by integral functions of finite degree in generalized Lebesgue spaces with variable exponent defined on the real axis. Among them are direct, inverse, and simultaneous estimates of approximation by… read more here.
Keywords: finite degree; lebesgue spaces; integral functions; approximation integral ... See more keywords