Linear operators on $L^{1/α}(0,∞)$ and Lorentz spaces: The Krasnosel’skii-Zabrieko characteristic sets

S. Riemenschneider

Displaying similar documents to “Linear operators on $L^{1 / α} (0, \infty)$ and Lorentz spaces: The Krasnosel’skii-Zabrieko characteristic sets”

Counterexamples for classical operators on Lorentz-Zygmund spaces

Robert Sharpley (1980)

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Maxis smoothing operators and some Orlicz classes

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Distribution function inequalities for the area integral

D. Burkholder, R. Gundy (1972)

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A sharp correction theorem

S. Kisliakov (1995)

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Under certain conditions on a function space X, it is proved that for every $L^{\infty}$ -function f with $∥ f ∥_{\infty} \leq 1$ one can find a function φ, 0 ≤ φ ≤ 1, such that φf ∈ X, $m e s φ \neq 1 \leq ɛ ∥ f ∥_{1}$ and $∥ φ f ∥_{X} \leq c o n s t (1 + l o g ɛ^{- 1})$ . For X one can take, e.g., the space of functions with uniformly bounded Fourier sums, or the space of $L^{\infty}$ -functions on $ℝ^{n}$ whose convolutions with a fixed finite collection of Calderón-Zygmund kernels are also bounded.

$L^{p}$ and Hölder estimates for pseudodifferential operators : sufficient conditions

Richard Beals (1979)

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Continuity in $L^{p}$ spaces and spaces of Hölder type is proved for pseudodifferential operators of order zero, under general conditions on the class of symbols. Applications to the regularity theory of some hypoelliptic operators are outlined.

L and L-estimates with a local weight for the ∂-equation on convex domains in C.

Francesc Tugores (1992)

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We construct a defining function for a convex domain in C that we use to prove that the solution-operator of Henkin-Romanov for the ∂-equation is bounded in L and L-norms with a weight that reflects not only how near the point is to the boundary of the domain but also how convex the domain is near the point. We refine and localize the weights that Polking uses in [Po] for the same type of domains because they depend only on the Euclidean distance to the boudary and don't take into account...

On the interior boundary-value problem for the stationary Povzner equation with hard and soft interactions

Vladislav A. Panferov (2004)

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The Povzner equation is a version of the nonlinear Boltzmann equation, in which the collision operator is mollified in the space variable. The existence of stationary solutions in $L^{1}$ is established for a class of stationary boundary-value problems in bounded domains with smooth boundaries, without convexity assumptions. The results are obtained for a general type of collision kernels with angular cutoff. Boundary conditions of the diffuse reflection type, as well as the given incoming...

A negative result in differentiation theory

Bernardo López Melero (1982)

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Oscillatory integrals and multiplier problem for the disc

Lennart Carleson, Per Sjölin (1972)

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Displaying similar documents to “Linear operators on L 1 / α ( 0 , ∞ ) and Lorentz spaces: The Krasnosel’skii-Zabrieko characteristic sets”

Displaying similar documents to “Linear operators on $L^{1 / α} (0, \infty)$ and Lorentz spaces: The Krasnosel’skii-Zabrieko characteristic sets”