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Displaying 21 – 33 of 33

On the exponential integrability of fractional integrals on spaces of homogeneous type

A. Gatto, Stephen Vági (1993)

Colloquium Mathematicae

In this paper we show that the fractional integral of order α on spaces of homogeneous type embeds $L^{1 / α}$ into a certain Orlicz space. This extends results of Trudinger [T], Hedberg [H], and Adams-Bagby [AB].

On the image of a generalized $d$ -plane transform on $ℝ^{n}$ .

Symeonidis, Elevtherios (1999)

Journal of Lie Theory

On the inverse Abel transforms for certain Riemannian symmetric spaces of rank 2.

Fuliu Zhu (1996)

Mathematische Annalen

On the Plancherel Measure for Linear Lie Groups of Rank One.

Roberto J. Miatello (1979)

Manuscripta mathematica

On the Relation between Amenability of Locally Compact Groups and the Norms of Convolution Operators.

Christian Berg, Jens Peter Reuss Christensen (1974)

Mathematische Annalen

On the Segal-Shale-Weil Representations and Harmonic Polynomials.

M. Kashiwara, M. Vergne (1978)

Inventiones mathematicae

On the Symplectic Structure of Coadjoint Orbits of (Solvable) Lie Groups and Applications. I.

Niels Vigand Pedersen (1988)

Mathematische Annalen

On weighted inequalities for operators of potential type

Shiying Zhao (1996)

Colloquium Mathematicae

In this paper, we discuss a class of weighted inequalities for operators of potential type on homogeneous spaces. We give sufficient conditions for the weak and strong type weighted inequalities sup_{λ>0} λ|{x ∈ X : |T(fdσ)(x)|>λ }|_{ω}^{1/q} ≤ C (∫_{X} |f|^{p}dσ)^{1/p} and (∫_{X} |T(fdσ)|^{q}dω )^{1/q} ≤ C (∫_X |f|^{p}dσ )^{1/p} in the cases of 0 < q < p ≤ ∞ and 1 ≤ q < p < ∞, respectively, where T is an operator of potential type, and ω and σ are Borel measures on the homogeneous...

Displaying 21 – 33 of 33

On the exponential integrability of fractional integrals on spaces of homogeneous type

On the image of a generalized $d$ -plane transform on $ℝ^{n}$ .

On the inverse Abel transforms for certain Riemannian symmetric spaces of rank 2.

On the Plancherel Measure for Linear Lie Groups of Rank One.

On the Relation between Amenability of Locally Compact Groups and the Norms of Convolution Operators.

On the Segal-Shale-Weil Representations and Harmonic Polynomials.

On the Symplectic Structure of Coadjoint Orbits of (Solvable) Lie Groups and Applications. I.

On weighted inequalities for operators of potential type

Opérateurs invariants sur un immeuble affine de type < $> {\tilde{B}}_{n} (n \geq 3) <$ >

Orbit closures of generic unipotent flows on homogeneous spaces of SL (3, IR).

Orthogonal symmetric pairs and the Rouvière isomorphism. (Paires symétriques orthogonales et isomorphisme de Rouvière.)

Oscillating multipliers on noncompact symmetric spaces.

Outer measures and weak type $(1, 1)$ estimates of Hardy-Littlewood maximal operators.

Currently displaying 21 – 33 of 33