AbstractIn this paper, we characterize the class of measurable functions (or, more generally, real- or complex-valued distributions) f such that the commutator operatorCf=[f,Δ] acting from H˙1(Rd) to H˙−1(Rd). In other words, we give a complete solution to the problem for the boundedness of the Laplacian −Δ, which is fundamental to quantum mechanics
AbstractGiven a bounded regular domain with cylindrical symmetry, then functions having such symmetr...
Let −Δ denote the Dirichlet Laplace operator on a bounded open set in Rd. We study the sum of the ne...
International audienceIn this paper, we derive from the supersymmetry of the Witten Laplacian Brasca...
AbstractGiven a piecewise continuous function A:R¯+→L(CN) and a projection P1 onto a subspace X1 of ...
AbstractIn this paper, we establish the local Poincaré-type inequalities for the composition of the ...
AbstractThe main goal of this paper is the realization that some formal basic results and definition...
In this note we prove that the ball is a maximiser for integer order Schatten p-norms of the Riesz p...
2000 Mathematics Subject Classification: 42B10, 43A32.In this paper we take the strip KL = [0, +∞[×[...
AbstractGiven a bounded open subset Ω of Rd (d⩾1) and a positive finite Borel measure μ supported on...
AbstractWe introduce general estimates for “gain of regularity” of solutions of the ∂¯-Neumann probl...
AbstractIn this note we prove that the ball is a maximiser for integer order Schatten p-norms of the...
We consider the Hodge Laplacian Δ on the Heisenberg group Hn, endowed with a left-invariant and U(n)...
AbstractThe author establishes the Lp boundedness for a class of maximal functions related to singul...
AbstractFor a symmetric operator or relation A with infinite deficiency indices in a Hilbert space w...
AbstractWe give here the proof of an inequality originally due to K. O. Friedrichs [2]. If Ω is a re...
AbstractGiven a bounded regular domain with cylindrical symmetry, then functions having such symmetr...
Let −Δ denote the Dirichlet Laplace operator on a bounded open set in Rd. We study the sum of the ne...
International audienceIn this paper, we derive from the supersymmetry of the Witten Laplacian Brasca...
AbstractGiven a piecewise continuous function A:R¯+→L(CN) and a projection P1 onto a subspace X1 of ...
AbstractIn this paper, we establish the local Poincaré-type inequalities for the composition of the ...
AbstractThe main goal of this paper is the realization that some formal basic results and definition...
In this note we prove that the ball is a maximiser for integer order Schatten p-norms of the Riesz p...
2000 Mathematics Subject Classification: 42B10, 43A32.In this paper we take the strip KL = [0, +∞[×[...
AbstractGiven a bounded open subset Ω of Rd (d⩾1) and a positive finite Borel measure μ supported on...
AbstractWe introduce general estimates for “gain of regularity” of solutions of the ∂¯-Neumann probl...
AbstractIn this note we prove that the ball is a maximiser for integer order Schatten p-norms of the...
We consider the Hodge Laplacian Δ on the Heisenberg group Hn, endowed with a left-invariant and U(n)...
AbstractThe author establishes the Lp boundedness for a class of maximal functions related to singul...
AbstractFor a symmetric operator or relation A with infinite deficiency indices in a Hilbert space w...
AbstractWe give here the proof of an inequality originally due to K. O. Friedrichs [2]. If Ω is a re...
AbstractGiven a bounded regular domain with cylindrical symmetry, then functions having such symmetr...
Let −Δ denote the Dirichlet Laplace operator on a bounded open set in Rd. We study the sum of the ne...
International audienceIn this paper, we derive from the supersymmetry of the Witten Laplacian Brasca...
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