Capacitary inequalities for fractional integrals, with applications to partial differential equations and Sobolev multipliers

From MaRDI portal
Publication:1897584

DOI10.1007/BF02559606zbMath0834.31006MaRDI QIDQ1897584

Igor E. Verbitsky, Vladimir Gilelevich Maz'ya

Publication date: 31 March 1996

Published in: Arkiv för Matematik (Search for Journal in Brave)




Related Items

Nonlinear equations and weighted norm inequalities, Discreteness of Spectrum and Strict Positivity Criteria for Magnetic Schrödinger Operators, An end-point global gradient weighted estimate for quasilinear equations in non-smooth domains, Improved regularity criterion for the 3D Navier-Stokes equations via the gradient of one velocity component, On a capacitary strong type inequality and related capacitary estimates, A new regularity criterion for the nematic liquid crystal flows, The form boundedness criterion for the relativistic Schrödinger operator, On the boundedness of the multilinear fractional integral operators, Quasilinear equations with natural growth in the gradients in spaces of Sobolev multipliers, On some bilinear problems on weighted Hardy-Sobolev spaces, Uniqueness for the Navier-Stokes equations and multipliers between Sobolev spaces, A note on quasilinear equations with fractional diffusion, Unnamed Item, On the Choquet integrals associated to Bessel capacities, Quasilinear Riccati-type equations with oscillatory and singular data, Stationary Navier-Stokes equations with critically singular external forces: existence and stability results, Lower bound of Schrödinger operators on Riemannian manifolds, Potential Estimates and Quasilinear Parabolic Equations with Measure Data, Good-\(\lambda \) and Muckenhoupt-Wheeden type bounds in quasilinear measure datum problems, with applications, Quasilinear elliptic equations with a source reaction term involving the function and its gradient and measure data, Preduals of Sobolev multiplier spaces for end point cases, Quasilinear Riccati type equations with distributional data in Morrey space framework, Nonlinear Muckenhoupt-Wheeden type bounds on Reifenberg flat domains, with applications to quasilinear Riccati type equations, Criteria of solvability for multidimensional Riccati equations, Morrey global bounds and quasilinear Riccati type equations below the natural exponent, Bilinear forms on potential spaces in the unit circle, A note on the trace inequality for Riesz potentials, Towards a deterministic KPZ equation with fractional diffusion: the stationary problem, Mock Morrey spaces, Weighted estimates of a measure of noncompactness for maximal and potential operators, The Schrödinger operator on the energy space: Boundedness and compactness criteria, Wavelets, Sobolev multipliers, and application to Schrödinger type operators with nonsmooth potentials, Multipliers, paramultipliers, and weak-strong uniqueness for the Navier-Stokes equations, Euler equations and real harmonic analysis, Carleson measure problems for parabolic Bergman spaces and homogeneous Sobolev spaces, Multipliers between Sobolev spaces and fractional differentiation, Quasilinear elliptic equations with sub-natural growth terms and nonlinear potential theory, Quasilinear Riccati Type Equations with Super-Critical Exponents, Measure data problems for a class of elliptic equations with mixed absorption-reaction, Characterizations of predual spaces to a class of Sobolev multiplier type spaces, A capacity-based condition for existence of solutions to fractional elliptic equations with first-order terms and measures, Bilinear forms on non-homogeneous Sobolev spaces, Weighted norm inequalities for integral operators, Regularity of solutions of Poisson's equation in multiplier spaces, Nonlinear elliptic equations with measure valued absorption potentials, Infinitesimal form boundedness and Trudinger's subordination for the Schrödinger operator, On Some Classes of Time-Periodic Solutions for the Navier--Stokes Equations in the Whole Space, Boundedness of fractional integrals on special John-Nirenberg-Campanato and Hardy-type spaces via congruent cubes, Holomorphic potentials and multipliers for Hardy-Sobolev spaces, Application of capacities to space-time fractional dissipative equations. II: Carleson measure characterization for \(L^q (\mathbb{R}_+^{n+1}, \mu)\)-extension



Cites Work