Product-Convolution Operators and Mixed-Norm Spaces
From MaRDI portal
Publication:3916973
DOI10.2307/1998353zbMath0465.43003OpenAlexW4252591157MaRDI QIDQ3916973
Robert C. Busby, Harvey Alvin Smith
Publication date: 1981
Full work available at URL: https://doi.org/10.2307/1998353
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Homomorphisms and multipliers of function spaces on groups, semigroups, etc. (43A22) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Linear operators on function spaces (general) (47B38) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)
Related Items
New characterizations of the dual spaces of Hardy-amalgam spaces, Amalgams of 𝐿^{𝑝} and 𝑙^{𝑞}, Some applications of the dual spaces of Hardy-amalgam spaces, Tent space boundedness via extrapolation, A Characterization of Minimal Homogeneous Banach Spaces, Mild solutions and spacetime integral bounds for Stokes and Navier-Stokes flows in Wiener amalgam spaces, Choosing Function Spaces in Harmonic Analysis, Time-frequency partitions and characterizations of modulation spaces with localization operators, Approximation of integral operators using product-convolution expansions, On the Hausdorff-Young theorem for amalgams, The amalgam space L(p,q)π$\begin{array}{} L^{\pi}_{(p,q)} \end{array}$(G) on IN-groups, Groups with compact open subgroups and multiplier Hopf \(^*\)-algebras, Which Amalgams are Convolution Algebras?, Wiener-Luxemburg amalgam spaces, Dilation operators and integral operators on amalgam space \((L_p,l_q)\), Norm inequalities in some subspaces of Morrey space, On some compact embeddings of a weighted space, On the homological and algebraical properties of some Feichtinger algebras, Distribution Theory by Riemann Integrals, On maximizers of a convolution operator in -spaces, Special John-Nirenberg-Campanato spaces via congruent cubes, Compactness in translation invariant Banach spaces of distributions and compact multipliers, Well-posedness of mild solutions to the drift-diffusion and the vorticity equations in amalgam spaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Compactness of integral operators in Banach function spaces
- The spaces \(L^ p\), with mixed norm
- On a class of convolution algebras of functions
- Unions et intersections d'espaces \(L^p\) invariantes par translation ou convolution
- Banach convolution algebras of functions II
- Covering properties and Følner conditions for locally compact groups
- An extension of the Hausdorff-Young theorem
- Generalized Hausdorff-Young inequalities and mixed norm spaces
- On the Representation of Functions as Fourier Transforms of Unbounded Measures
- Harmonic Analysis on Amalgams of LP and lq
- Shorter Notes: Convolution of L p Functions
- Unbounded Positive Definite Functions
- Central Functions in Group Algebras
- Compact Induced Representations
- Compactness conditions in topological groups.
- Integral Operators and the Compactness of Induced Representations