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Displaying 21 – 40 of 673

A Remark on Invariant Pseudo-Differential Operators.

Anders Melin (1972)

Mathematica Scandinavica

A sharp rearrangement inequality for the fractional maximal operator

A. Cianchi, R. Kerman, B. Opic, L. Pick (2000)

Studia Mathematica

We prove a sharp pointwise estimate of the nonincreasing rearrangement of the fractional maximal function of ⨍, $M_{γ} ⨍$ , by an expression involving the nonincreasing rearrangement of ⨍. This estimate is used to obtain necessary and sufficient conditions for the boundedness of $M_{γ}$ between classical Lorentz spaces.

A spectral mapping theorem for evolution semigroups on asymptotically almost periodic functions defined on the half line.

Buşe, Constantin (2002)

Electronic Journal of Differential Equations (EJDE) [electronic only]

A spectral perturbation problem and its applications to waves above an underwater ridge.

Kuznetsov, D.S. (2001)

Sibirskij Matematicheskij Zhurnal

A symbolic calculus and a parametrix construction for pseudodifferential operators with non-smooth negative definite symbols.

Alexander Potrykus (2009)

Revista Matemática Complutense

A uniform estimate for quartile operators.

Christoph Thiele (2002)

Revista Matemática Iberoamericana

There is a one parameter family of bilinear Hilbert transforms. Recently, some progress has been made to prove Lp estimates for these operators uniformly in the parameter. In the current article we present some of these techniques in a simplified model...

A weighted estimate for an intermediate operator on the cone of nonnegative functions.

Oinarov, Ryskul (2002)

Sibirskij Matematicheskij Zhurnal

A weighted inequality for the Hardy operator involving suprema

Pavla Hofmanová (2016)

Commentationes Mathematicae Universitatis Carolinae

Let $u$ be a weight on $(0, \infty)$ . Assume that $u$ is continuous on $(0, \infty)$ . Let the operator $S_{u}$ be given at measurable non-negative function $ϕ$ on $(0, \infty)$ by $S_{u} ϕ (t) = sup_{0 < τ \leq t} u (τ) ϕ (τ) .$ We characterize weights $v, w$ on $(0, \infty)$ for which there exists a positive constant $C$ such that the inequality ${(\int_{0}^{\infty} {[S_{u} ϕ (t)]}^{q} w (t) d t)}^{\frac{1}{q}} ≲ {(\int_{0}^{\infty} {[ϕ (t)]}^{p} v (t) d t)}^{\frac{1}{p}}$ holds for every $0 < p, q < \infty$ . Such inequalities have been used in the study of optimal Sobolev embeddings and boundedness of certain operators on classical Lorenz spaces.

A Wiener algebra for the Fefferman-Phong inequality

Nicolas Lerner, Yoshinori Morimoto (2005/2006)

Séminaire Équations aux dérivées partielles

Abschätzungen für den zweiten Eigenwert eines positiven Operators.

K.P. Hadeler (1970)

Aequationes mathematicae

Absence of eigenvalues for integro-differential operators with periodic coefficients.

Stanescu, Marius Marinel, Cialenco, Igor (2010)

Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică

Adjoints of elliptic boundary value problems

Bert Schulze (1983)

Banach Center Publications

Algebras of pseudodifferential operators on complete manifolds.

Ammann, Bernd, Lauter, Robert, Nistor, Victor (2003)

Electronic Research Announcements of the American Mathematical Society [electronic only]

Alternative characterisations of Lorentz-Karamata spaces

David Eric Edmunds, Bohumír Opic (2008)

Czechoslovak Mathematical Journal

We present new formulae providing equivalent quasi-norms on Lorentz-Karamata spaces. Our results are based on properties of certain averaging operators on the cone of non-negative and non-increasing functions in convenient weighted Lebesgue spaces. We also illustrate connections between our results and mapping properties of such classical operators as the fractional maximal operator and the Riesz potential (and their variants) on the Lorentz-Karamata spaces.

An accuracy improvement in Egorov's theorem.

Jorge Drumond Silva (2007)

Publicacions Matemàtiques

We prove that the theorem of Egorov, on the canonical transformation of symbols of pseudodifferential operators conjugated by Fourier integral operators, can be sharpened. The main result is that the statement of Egorov's theorem remains true if, instead of just considering the principal symbols in Sm/Sm-1 for the pseudodifferential operators, one uses refined principal symbols in Sm/Sm-2, which for classical operators correspond simply to the principal plus the subprincipal symbol, and can generally...

Currently displaying 21 – 40 of 673