Some new Hardy spaces $L²H^{q}_{R}(ℝ²_{+} × ℝ²_{+})$ (0 < q ≤ 1)

Dachun Yang

Displaying similar documents to “Some new Hardy spaces $L ² H_{R}^{q} (ℝ ²_{+} \times ℝ ²_{+})$ (0 < q ≤ 1)”

Approximation by linear combination of Szász-Mirakian operators

H. Kasana, P. Agrawal (1999)

Colloquium Mathematicae

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Solutions of Analytical Systems of Partial Differential Equations

Trenčevski, K. (1995)

Serdica Mathematical Journal

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In this paper are examined some classes of linear and non-linear analytical systems of partial differential equations. Compatibility conditions are found and if they are satisfied, the solutions are given as functional series in a neighborhood of a given point (x = 0).

On the geometrical significance of curvatures of higher orders for curves lying in n-dimensional spaces

Stanisław Gołąb (1955)

Annales Polonici Mathematici

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Schwartz's theorem on mean periodic vector-valued functions

François Parreau, Yitzhak Weit (1989)

Bulletin de la Société Mathématique de France

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The local versions of $H^{p} (ℝ^{n})$ spaces at the origin

Shan Lu, Da Yang (1995)

Studia Mathematica

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Let 0 < p ≤ 1 < q < ∞ and α = n(1/p - 1/q). We introduce some new Hardy spaces $H K ̇_{q}^{α, p} (ℝ^{n})$ which are the local versions of $H^{p} (ℝ^{n})$ spaces at the origin. Characterizations of these spaces in terms of atomic and molecular decompositions are established, together with their φ-transform characterizations in M. Frazier and B. Jawerth’s sense. We also prove an interpolation theorem for operators on $H K ̇_{q}^{α, p} (ℝ^{n})$ and discuss the $H K ̇_{q}^{α, p} (ℝ^{n})$ -boundedness of Calderón-Zygmund operators. Similar results can also be obtained...

Rough singular integral operators with Hardy space function kernels on a product domain

Yong Ding (1997)

Colloquium Mathematicae

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In this paper we introduce atomic Hardy spaces on the product domain $S^{n - 1} \times S^{m - 1}$ and prove that rough singular integral operators with Hardy space function kernels are $L^{p}$ bounded on $ℝ^{n} \times ℝ^{m}$ . This is an extension of some well known results.

Global existence and blow-up for a completely coupled Fujita type system

Joanna Rencławowicz (2000)

Applicationes Mathematicae

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The Fujita type global existence and blow-up theorems are proved for a reaction-diffusion system of m equations (m>1) in the form $u_{i t} = Δ u_{i} + u_{i + 1}^{p_{i}}, i = 1, . . ., m - 1,$ $u_{m t} = Δ u_{m} + u_{1}^{p_{m}}, x \in ℝ^{N}, t > 0,$ with nonnegative, bounded, continuous initial values and positive numbers $p_{i}$ . The dependence on $p_{i}$ of the length of existence time (its finiteness or infinitude) is established.

Discrete analogues of Wirtinger's inequality for a two-dimensional array

Jarmila Novotná (1980)

Časopis pro pěstování matematiky

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Displaying similar documents to “Some new Hardy spaces L ² H R q ( ℝ ² + × ℝ ² + ) (0 < q ≤ 1)”

Displaying similar documents to “Some new Hardy spaces $L ² H_{R}^{q} (ℝ ²_{+} \times ℝ ²_{+})$ (0 < q ≤ 1)”