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Displaying 441 – 460 of 673

The boundedness of Calderón-Zygmund operators on the spaces Fpα,q.

Michel Frazier, Rodolfo Torres, Guido Weiss (1988)

Revista Matemática Iberoamericana

Calderón-Zygmund operators are generalizations of the singular integral operators introduced by Calderón and Zygmund in the fifties [CZ]. These singular integrals are principal value convolutions of the formTf(x) = límε→0 ∫|x-y|>ε K(x-y) f(y) dy = p.v.K * f(x),where f belongs to some class of test functions.

The boundedness of two classes of integral operators

Xin Wang, Ming-Sheng Liu (2021)

Czechoslovak Mathematical Journal

The aim of this paper is to characterize the $L^{p} - L^{q}$ boundedness of two classes of integral operators from $L^{p} (𝒰, d V_{α})$ to $L^{q} (𝒰, d V_{β})$ in terms of the parameters $a$ , $b$ , $c$ , $p$ , $q$ and $α$ , $β$ , where $𝒰$ is the Siegel upper half-space. The results in the presented paper generalize a corresponding result given in C. Liu, Y. Liu, P. Hu, L. Zhou (2019).

The C*-Algebra of the N-Dimensional Harmonic Oscillator.

Houshang H. Sohrab (1981)

Manuscripta mathematica

The Complete (L..., L...) Mapping Properties for a Class of Oscillatory Integrals.

Yibiao Pan, Gary Sampson (1998)

The journal of Fourier analysis and applications [[Elektronische Ressource]]

The continuity of multilinear singular integral operators with variable Calderón-Zygmund kernel on Hardy and Herz spaces.

Liu, Lanzhe (2005)

Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]

The continuity of pseudo-differential operators on weighted local Hardy spaces

Ming-Yi Lee, Chin-Cheng Lin, Ying-Chieh Lin (2010)

Studia Mathematica

We first show that a linear operator which is bounded on $L ²_{w}$ with w ∈ A₁ can be extended to a bounded operator on the weighted local Hardy space $h ¹_{w}$ if and only if this operator is uniformly bounded on all $h ¹_{w}$ -atoms. As an application, we show that every pseudo-differential operator of order zero has a bounded extension to $h ¹_{w}$ .

The eigenvalues of hypoelliptic operators

A. Menikoff, Johannes Sjöstrand (1977)

Journées équations aux dérivées partielles

The formal Laplace--Borel transform of Fliess operators and the composition product.

Li, Yaqin, Gray, W.Steven (2006)

International Journal of Mathematics and Mathematical Sciences

The Fourier integral operators on Hardy spaces associated with Herz spaces

Lixia Liu, Bolin Ma, Sanyang Liu (2011)

Czechoslovak Mathematical Journal

In this paper, it is proved that the Fourier integral operators of order $m$ , with $- n < m \leq - (n - 1) / 2$ , are bounded from three kinds of Hardy spaces associated with Herz spaces to their corresponding Herz spaces.

The generalized Riemann-Hilbert boundary value problem for non-homogeneous polyanalytic differential equation of order $n$ in the Sobolev space $W_{n, p} (D)$ .

Mshimba, Ali Seif (1999)

Zeitschrift für Analysis und ihre Anwendungen

The importance of being Orlicz

Jürgen Appell (2004)

Banach Center Publications

The inversion formulae for some Bessel and hypergeometric

S. L. Kalla, S. E. de González de Galindo (1976)

Revista colombiana de matematicas

The Kerzman-Stein Operator for the Ellipse

Milutin R. Dostanić (2010)

Publications de l'Institut Mathématique

The $L^{p}$ mapping problem for well-behaved convolutions

W. Jurkat, G. Sampson (1979)

Studia Mathematica

The level crossing problem in semi-classical analysis I. The symmetric case

Yves Colin de Verdière (2003)

Annales de l’institut Fourier

We describe a microlocal normal form for a symmetric system of pseudo-differential equations whose principal symbol is a real symmetric matrix with a generic crossing of eigenvalues. We use it in order to give a precise description of the microlocal solutions.

The linear modulus of an integral operator

A. C. Zaanen (1972)

Mémoires de la Société Mathématique de France

The Marcinkiewicz multiplier condition for bilinear operators

Loukas Grafakos, Nigel J. Kalton (2001)

Studia Mathematica

This article is concerned with the question of whether Marcinkiewicz multipliers on $ℝ^{2 n}$ give rise to bilinear multipliers on ℝⁿ × ℝⁿ. We show that this is not always the case. Moreover, we find necessary and sufficient conditions for such bilinear multipliers to be bounded. These conditions in particular imply that a slight logarithmic modification of the Marcinkiewicz condition gives multipliers for which the corresponding bilinear operators are bounded on products of Lebesgue and Hardy spaces.

The martingale problem for a class of pseudo differential operators.

Walter Hoh (1994)

Mathematische Annalen

The nonrelativistic limit for the Weyl quantized Hamlitonians and pseudo-differential operators.

Michihiro Nagase, Tomio Umeda (1992)

Forum mathematicum

The norms and singular numbers of polynomials of the classical Volterra operator in L₂(0,1)

Yuri Lyubich, Dashdondog Tsedenbayar (2010)

Studia Mathematica

The spectral problem (s²I - ϕ(V)*ϕ(V))f = 0 for an arbitrary complex polynomial ϕ of the classical Volterra operator V in L₂(0,1) is considered. An equivalent boundary value problem for a differential equation of order 2n, n = deg(ϕ), is constructed. In the case ϕ(z) = 1 + az the singular numbers are explicitly described in terms of roots of a transcendental equation, their localization and asymptotic behavior is investigated, and an explicit formula for the ||I + aV||₂ is given. For all a ≠ 0 this...

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