Pseudodifferential operators and Hardy kernels on $L^p(\mathbf {R}^+)$

Jeff E. Lewis; Cesare Parenti

Displaying similar documents to “Pseudodifferential operators and Hardy kernels on $L^{p} (𝐑^{+})$ ”

Compact composition operators and Carleson measure in the upper half-plane.

S. D. Sharma, Romesh Kumar (2000)

Extracta Mathematicae

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Singular integral operators with non-smooth kernels on irregular domains.

Xuan Thinh Duong, Alan McIntosh (1999)

Revista Matemática Iberoamericana

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Let χ be a space of homogeneous type. The aims of this paper are as follows. i) Assuming that T is a bounded linear operator on L₂(χ), we give a sufficient condition on the kernel of T such that T is of weak type (1,1), hence bounded on L_p(χ) for 1 < p ≤ 2; our condition is weaker then the usual Hörmander integral condition. ii) Assuming that T is a bounded linear operator on L₂(Ω) where Ω is a...

Invertible and normal composition operators on the Hilbert Hardy space of a half–plane

Valentin Matache (2016)

Concrete Operators

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Operators on function spaces of form Cɸf = f ∘ ɸ, where ɸ is a fixed map are called composition operators with symbol ɸ. We study such operators acting on the Hilbert Hardy space over the right half-plane and characterize the situations when they are invertible, Fredholm, unitary, and Hermitian. We determine the normal composition operators with inner, respectively with Möbius symbol. In select cases, we calculate their spectra, essential spectra, and numerical ranges.

Generalizations of Mercer's theorem for a class of nonselfadjoint operators

M. R. Dostanić (1989)

Matematički Vesnik

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Multiplier operators on product spaces

Hung Viet Le (2002)

Studia Mathematica

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The author proves the boundedness for a class of multiplier operators on product spaces. This extends a result obtained by Lung-Kee Chen in 1994.

Some classical operators on Lorentz space.

C.J. NEUGEBAUER (1992)

Forum mathematicum

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Hardy Inequality in Variable Exponent Lebesgue Spaces

Diening, Lars, Samko, Stefan (2007)

Fractional Calculus and Applied Analysis

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Mathematics Subject Classification: 26D10, 46E30, 47B38 We prove the Hardy inequality and a similar inequality for the dual Hardy operator for variable exponent Lebesgue spaces.