Displaying similar documents to “Unique continuation for Schrödinger operators with potential in Morrey spaces.”

Endpoint multiplier theorems of Marcinkiewicz type.

Terence Tao, James Wright (2001)

Revista Matemática Iberoamericana

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We establish sharp (H,L) and local (L logL,L) mapping properties for rough one-dimensional multipliers. In particular, we show that the multipliers in the Marcinkiewicz multiplier theorem map H to L and L logL to L, and that these estimates are sharp.

The form boundedness criterion for the relativistic Schrödinger operator

Vladimir Maz'ya, Igor Verbitsky (2004)

Annales de l’institut Fourier

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We establish necessary and sufficient conditions on the real- or complex-valued potential Q defined on ℝ n for the relativistic Schrödinger operator - Δ + Q to be bounded as an operator from the Sobolev space W 2 1 / 2 ( ℝ n ) to its dual W 2 - 1 / 2 ( ℝ n ) .