Results 331 to 340 of about 5,011,031 (372)
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Quaestiones Mathematicae, 2004
We summarize the results on multipliers from Hp to lq for various p and q. In some instances we provide proofs which are different from the ones in the literature. On other occasions we are able to improve results of other authors, or provide an unified treatment that does not appear in the literature.Mathematics Subject Classification (2000): 30D ...
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We summarize the results on multipliers from Hp to lq for various p and q. In some instances we provide proofs which are different from the ones in the literature. On other occasions we are able to improve results of other authors, or provide an unified treatment that does not appear in the literature.Mathematics Subject Classification (2000): 30D ...
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1991
Abstract: "Motivated by questions in nonlinear elasticity, Stefan Müller has recently proved that if u [epsilon] (W¹,N ([subscript R superscript N))[superscript N] satisfies J(u) = det[delta]u [> or =] 0 almost everywhere, then one has J(u)log(1+J (u)) L¹loc(R[superscript N]).
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Abstract: "Motivated by questions in nonlinear elasticity, Stefan Müller has recently proved that if u [epsilon] (W¹,N ([subscript R superscript N))[superscript N] satisfies J(u) = det[delta]u [> or =] 0 almost everywhere, then one has J(u)log(1+J (u)) L¹loc(R[superscript N]).
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1992
In Chapter 1 we defined the Poisson integral of a function f ∈ C(S) to be the function P[f] defined on B by $$P\left[ f \right](x) = \int_S {P\left( {x,\zeta } \right)f} \left( \zeta \right)d\sigma \left( \zeta \right)$$ (6.1) .
Wade Ramey +2 more
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In Chapter 1 we defined the Poisson integral of a function f ∈ C(S) to be the function P[f] defined on B by $$P\left[ f \right](x) = \int_S {P\left( {x,\zeta } \right)f} \left( \zeta \right)d\sigma \left( \zeta \right)$$ (6.1) .
Wade Ramey +2 more
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, 2011
We introduce connections between the Cuntz relations and the Hardy space H 2 of the open unit disk \(\mathbb{D}\). We then use them to solve a new kind of multipoint interpolation problem in H 2, where, for instance, only a linear combination of the ...
D. Alpay +3 more
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We introduce connections between the Cuntz relations and the Hardy space H 2 of the open unit disk \(\mathbb{D}\). We then use them to solve a new kind of multipoint interpolation problem in H 2, where, for instance, only a linear combination of the ...
D. Alpay +3 more
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Hardy’s inequality on Hardy–Morrey spaces
Georgian Mathematical Journal, 2017Abstract We generalize the Hardy inequality to Hardy–Morrey spaces.
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1998
In this chapter we study various properties of the spacesH 1 H 2 andH ∞in preparation for our study of Toeplitz operators in the following chapter. Due to the availability of several excellent accounts of this subject (see Notes), we do not attempt a comprehensive treatment and proceed in the main using the techniques which we have already introduced.
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In this chapter we study various properties of the spacesH 1 H 2 andH ∞in preparation for our study of Toeplitz operators in the following chapter. Due to the availability of several excellent accounts of this subject (see Notes), we do not attempt a comprehensive treatment and proceed in the main using the techniques which we have already introduced.
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Hardy space and Bergman space on the Octonions
Approximation Theory and its Applications, 2000Summary: Square-integrable octonion-valued function spaces on \(\mathbb{R}^3\) and \(\mathbb{R}^7\) are decomposed into the direct sum of octonion Hardy and conjugate Hardy spaces, and square-integrable octonion function spaces on the upper half spaces \(\mathbb{R}^4_+\) and \(\mathbb{R}^8_+\) are decomposed into infinity direct sum of subspaces in ...
Peng Lizhong, Zhao Jiman
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Parametrized Area Integrals on Hardy Spaces and Weak Hardy Spaces
Acta Mathematica Sinica, English Series, 2007In this paper, the authors prove that if Ω satisfies a class of the integral Dini condition, then the parametrized area integral $$ \mu ^{\rho }_{{\Omega ,S}} $$ is a bounded operator from the Hardy space H 1(ℝ n
Shanzhen Lu, Yong Ding, Qingying Xue
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Composition and multiplication operators on the derivative Hardy space
, 2018Caixing Gu, S. Luo
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The biofilm matrix: multitasking in a shared space
Nature Reviews Microbiology, 2023Hans-Curt Flemming +2 more
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