On grand Sobolev spaces and pointwise description of Banach function spaces
From MaRDI portal
Publication:2208219
DOI10.1016/j.na.2020.112100zbMath1464.46031arXiv2004.12712OpenAlexW3082384222MaRDI QIDQ2208219
Pankaj Jain, Sergei Vodop'yanov, Anastasia Molchanova, Monika Singh
Publication date: 23 October 2020
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.12712
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)
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Cites Work
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- An introductory course in Lebesgue spaces
- Grand Lebesgue spaces with respect to measurable functions
- Grand Sobolev spaces and their applications in geometric function theory and PDEs
- Generalization of the notion of grand Lebesgue space
- Fully measurable grand Lebesgue spaces
- Boundedness criteria for singular integrals in weighted Grand Lebesgue spaces
- Continuity properties of solutions to the \(p\)-Laplace system
- Lebesgue and Sobolev spaces with variable exponents
- Characterization of Orlicz--Sobolev space
- On the integrability of the Jacobian under minimal hypotheses
- Convexity conditions and existence theorems in nonlinear elasticity
- A formula for the Boyd indices in Orlicz spaces
- A remark on the equality \(\text{det} Df=\text{Det} Df\)
- Inverting the \(p\)-harmonic operator
- Monotone functions and quasiconformal mappings on Carnot groups
- The distance to \(L^{\infty }\) in some function spaces and applications
- Duality and reflexivity in grand Lebesgue spaces
- Recent trends in grand Lebesgue spaces
- Grand and small Lebesgue spaces and their analogs
- Regularity and uniqueness results in grand Sobolev spaces for parabolic equations with measure data
- Sobolev spaces on an arbitrary metric space
- A note on the continuity of minors in grand Lebesgue spaces
- Duality of fully measurable grand Lebesgue space
- Gagliardo-Nirenberg inequality for rearrangement-invariant Banach function spaces
- Fractional maximal operator in Orlicz spaces
- Pointwise characterizations of Hardy-Sobolev functions
- On Hardy - Littlewood Maximal Functions in Orlicz Spaces
- The maximal theorem for weighted grand Lebesgue spaces
- Grand Orlicz spaces and global integrability of the Jacobian
- Nonlinear Schrödinger evolution equations
- Weighted norm inequalities for maximal functions and singular integrals
- Calderón-Zygmund operators on generalized Lebesgue spaces Lp(⋅) and problems related to fluid dynamics
- On grand and small Lebesgue and Sobolev spaces and some applications to PDE's
- On Certain Convolution Inequalities
- A new characterization of the Sobolev space
- Analysis in Metric Spaces
- Sobolev Spaces on Metric Measure Spaces
- Sawyer's duality principle for grand Lebesgue spaces
- Weighted Norm Inequalities for the Hardy Maximal Function
- Weighted Norm Inequalities for the Conjugate Function and Hilbert Transform
- Measures, Integrals and Martingales
- Function Spaces
- Regularity and comparison results in grand Sobolev spaces for parabolic equations with measure data
